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28952064 = 293261103
BaseRepresentation
bin110111001110…
…0011000000000
32000110220202200
41232130120000
524402431224
62512313200
7501042231
oct156343000
960426680
1028952064
1115385129
129842800
135cc8ccb
143bb9088
15281d5c9
hex1b9c600

28952064 has 120 divisors (see below), whose sum is σ = 85751952. Its totient is φ = 9400320.

The previous prime is 28952059. The next prime is 28952083. The reversal of 28952064 is 46025982.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281037 + ... + 281139.

Almost surely, 228952064 is an apocalyptic number.

28952064 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 28952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42875976).

28952064 is an abundant number, since it is smaller than the sum of its proper divisors (56799888).

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

28952064 is a wasteful number, since it uses less digits than its factorization.

28952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 28952064 is about 5380.7122205150. The cubic root of 28952064 is about 307.0623080852.

The spelling of 28952064 in words is "twenty-eight million, nine hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 103 122 128 144 183 192 206 244 256 288 309 366 384 412 488 512 549 576 618 732 768 824 927 976 1098 1152 1236 1464 1536 1648 1854 1952 2196 2304 2472 2928 3296 3708 3904 4392 4608 4944 5856 6283 6592 7416 7808 8784 9888 11712 12566 13184 14832 15616 17568 18849 19776 23424 25132 26368 29664 31232 35136 37698 39552 46848 50264 52736 56547 59328 70272 75396 79104 93696 100528 113094 118656 140544 150792 158208 201056 226188 237312 281088 301584 402112 452376 474624 603168 804224 904752 1206336 1608448 1809504 2412672 3216896 3619008 4825344 7238016 9650688 14476032 28952064