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28336672 = 2571337263
BaseRepresentation
bin110110000011…
…0001000100000
31222022122121101
41230012020200
524223233142
62451204144
7462600130
oct154061040
958278541
1028336672
1114aa4841
1295a6654
135b41b80
143a98ac0
15274b0b7
hex1b06220

28336672 has 96 divisors (see below), whose sum is σ = 70785792. Its totient is φ = 10865664.

The previous prime is 28336631. The next prime is 28336681. The reversal of 28336672 is 27663382.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 107613 + ... + 107875.

It is an arithmetic number, because the mean of its divisors is an integer number (737352).

Almost surely, 228336672 is an apocalyptic number.

28336672 is the 3367-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28336672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35392896).

28336672 is an abundant number, since it is smaller than the sum of its proper divisors (42449120).

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

28336672 is a wasteful number, since it uses less digits than its factorization.

28336672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 28336672 is about 5323.2200781106. The cubic root of 28336672 is about 304.8711163776.

The spelling of 28336672 in words is "twenty-eight million, three hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 37 52 56 74 91 104 112 148 182 208 224 259 263 296 364 416 481 518 526 592 728 962 1036 1052 1184 1456 1841 1924 2072 2104 2912 3367 3419 3682 3848 4144 4208 6734 6838 7364 7696 8288 8416 9731 13468 13676 14728 15392 19462 23933 26936 27352 29456 38924 47866 53872 54704 58912 68117 77848 95732 107744 109408 126503 136234 155696 191464 253006 272468 311392 382928 506012 544936 765856 885521 1012024 1089872 1771042 2024048 2179744 3542084 4048096 7084168 14168336 28336672