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28770784 = 2572943103
BaseRepresentation
bin110110111000…
…0000111100000
32000010201002121
41231300013200
524331131114
62504354024
7466355560
oct155600740
960121077
1028770784
1115270a09
129775914
135c64643
143b6cda0
1527d4a24
hex1b701e0

28770784 has 96 divisors (see below), whose sum is σ = 69189120. Its totient is φ = 11515392.

The previous prime is 28770767. The next prime is 28770799. The reversal of 28770784 is 48707782.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 28770784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279277 + ... + 279379.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 228770784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28770784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34594560).

28770784 is an abundant number, since it is smaller than the sum of its proper divisors (40418336).

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

28770784 is a wasteful number, since it uses less digits than its factorization.

28770784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 43.

The square root of 28770784 is about 5363.8404152249. The cubic root of 28770784 is about 306.4200874423.

The spelling of 28770784 in words is "twenty-eight million, seven hundred seventy thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 43 56 58 86 103 112 116 172 203 206 224 232 301 344 406 412 464 602 688 721 812 824 928 1204 1247 1376 1442 1624 1648 2408 2494 2884 2987 3248 3296 4429 4816 4988 5768 5974 6496 8729 8858 9632 9976 11536 11948 17458 17716 19952 20909 23072 23896 31003 34916 35432 39904 41818 47792 62006 69832 70864 83636 95584 124012 128441 139664 141728 167272 248024 256882 279328 334544 496048 513764 669088 899087 992096 1027528 1798174 2055056 3596348 4110112 7192696 14385392 28770784