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28375872 = 263743491
BaseRepresentation
bin110110000111…
…1101101000000
31222101122101020
41230033231000
524231011442
62452105440
7463122330
oct154175500
958348336
1028375872
1115021238
129605280
135b56975
143aa90c0
1527579ec
hex1b0fb40

28375872 has 112 divisors (see below), whose sum is σ = 87977472. Its totient is φ = 7902720.

The previous prime is 28375871. The next prime is 28375883. The reversal of 28375872 is 27857382.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×283758722 = 1610380223520768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28375871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57547 + ... + 58037.

Almost surely, 228375872 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 28375872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43988736).

28375872 is an abundant number, since it is smaller than the sum of its proper divisors (59601600).

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

28375872 is a wasteful number, since it uses less digits than its factorization.

28375872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 546 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 28375872 is about 5326.9007875124. The cubic root of 28375872 is about 305.0116344214.

The spelling of 28375872 in words is "twenty-eight million, three hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 491 516 602 672 688 903 982 1032 1204 1344 1376 1473 1806 1964 2064 2408 2752 2946 3437 3612 3928 4128 4816 5892 6874 7224 7856 8256 9632 10311 11784 13748 14448 15712 19264 20622 21113 23568 27496 28896 31424 41244 42226 47136 54992 57792 63339 82488 84452 94272 109984 126678 147791 164976 168904 219968 253356 295582 329952 337808 443373 506712 591164 659904 675616 886746 1013424 1182328 1351232 1773492 2026848 2364656 3546984 4053696 4729312 7093968 9458624 14187936 28375872