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28620816 = 2437103827
BaseRepresentation
bin110110100101…
…1100000010000
31222212002101020
41231023200100
524311331231
62501235440
7465162420
oct155134020
958762336
1028620816
1115179274
129702b80
135c112c3
143b30480
1527a5396
hex1b4b810

28620816 has 80 divisors (see below), whose sum is σ = 85423104. Its totient is φ = 8088192.

The previous prime is 28620811. The next prime is 28620817. The reversal of 28620816 is 61802682.

28620816 = T294 + T295 + ... + T581.

It is a super-2 number, since 2×286208162 = 1638302217011712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (28620811) 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, 34195 + ... + 35021.

Almost surely, 228620816 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 28620816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42711552).

28620816 is an abundant number, since it is smaller than the sum of its proper divisors (56802288).

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

28620816 is a wasteful number, since it uses less digits than its factorization.

28620816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 28620816 is about 5349.8426145075. The cubic root of 28620816 is about 305.8867537712.

The spelling of 28620816 in words is "twenty-eight million, six hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 103 112 168 206 309 336 412 618 721 824 827 1236 1442 1648 1654 2163 2472 2481 2884 3308 4326 4944 4962 5768 5789 6616 8652 9924 11536 11578 13232 17304 17367 19848 23156 34608 34734 39696 46312 69468 85181 92624 138936 170362 255543 277872 340724 511086 596267 681448 1022172 1192534 1362896 1788801 2044344 2385068 3577602 4088688 4770136 7155204 9540272 14310408 28620816