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28608408 = 2332735443
BaseRepresentation
bin110110100100…
…0011110011000
31222211110100200
41231020132120
524310432113
62501102200
7465111303
oct155103630
958743320
1028608408
111516aa14
1296b7960
135c0876a
143b29b3a
1527a1873
hex1b48798

28608408 has 48 divisors (see below), whose sum is σ = 78556920. Its totient is φ = 9403776.

The previous prime is 28608407. The next prime is 28608421. The reversal of 28608408 is 80480682.

28608408 is a `hidden beast` number, since 2 + 8 + 608 + 40 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28608403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2535 + ... + 7977.

Almost surely, 228608408 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 28608408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39278460).

28608408 is an abundant number, since it is smaller than the sum of its proper divisors (49948512).

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

28608408 is a wasteful number, since it uses less digits than its factorization.

28608408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5528 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 28608408 is about 5348.6828285102. The cubic root of 28608408 is about 305.8425436242.

The spelling of 28608408 in words is "twenty-eight million, six hundred eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 5443 10886 16329 21772 32658 43544 48987 65316 97974 130632 195948 391896 397339 794678 1192017 1589356 2384034 3178712 3576051 4768068 7152102 9536136 14304204 28608408