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28940544 = 28335379
BaseRepresentation
bin110111001100…
…1100100000000
32000110022222000
41232121210000
524402044134
62512144000
7500663523
oct156314400
960408860
1028940544
1115377506
129838000
135cc39a9
143bb4bba
152819e99
hex1b99900

28940544 has 144 divisors (see below), whose sum is σ = 88300800. Its totient is φ = 9345024.

The previous prime is 28940539. The next prime is 28940557. The reversal of 28940544 is 44504982.

28940544 = T46 + T47 + ... + T557.

28940544 is a `hidden beast` number, since 28 + 94 + 0 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28940499 and 28940508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366297 + ... + 366375.

It is an arithmetic number, because the mean of its divisors is an integer number (613200).

Almost surely, 228940544 is an apocalyptic number.

28940544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28940544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44150400).

28940544 is an abundant number, since it is smaller than the sum of its proper divisors (59360256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28940544 is an equidigital number, since it uses as much as digits as its factorization.

28940544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 28940544 is about 5379.6416237515. The cubic root of 28940544 is about 307.0215760777.

The spelling of 28940544 in words is "twenty-eight million, nine hundred forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 79 96 106 108 128 144 158 159 192 212 216 237 256 288 316 318 384 424 432 474 477 576 632 636 711 768 848 864 948 954 1152 1264 1272 1422 1431 1696 1728 1896 1908 2133 2304 2528 2544 2844 2862 3392 3456 3792 3816 4187 4266 5056 5088 5688 5724 6784 6912 7584 7632 8374 8532 10112 10176 11376 11448 12561 13568 15168 15264 16748 17064 20224 20352 22752 22896 25122 30336 30528 33496 34128 37683 40704 45504 45792 50244 60672 61056 66992 68256 75366 91008 91584 100488 113049 122112 133984 136512 150732 182016 183168 200976 226098 267968 273024 301464 366336 401952 452196 535936 546048 602928 803904 904392 1071872 1205856 1607808 1808784 2411712 3215616 3617568 4823424 7235136 9646848 14470272 28940544