38406528 has 64 divisors (see below), whose sum is σ = 113362800. Its totient is φ = 12801024.

The previous prime is 38406521. The next prime is 38406539. The reversal of 38406528 is 82560483.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×38406528² = 2950122786029568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 38406492 and 38406501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38406521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2101 + ... + 9012.

Almost surely, 2^38406528 is an apocalyptic number.

It is an amenable number.

38406528 is an abundant number, since it is smaller than the sum of its proper divisors (74956272).

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

38406528 is a wasteful number, since it uses less digits than its factorization.

38406528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11136 (or 11118 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38406528 is about 6197.3000572830. The cubic root of 38406528 is about 337.3921828445.

The spelling of 38406528 in words is "thirty-eight million, four hundred six thousand, five hundred twenty-eight".