38622528 has 224 divisors, whose sum is σ = 135249920. Its totient is φ = 10575360.

The previous prime is 38622511. The next prime is 38622539. The reversal of 38622528 is 82522683.

38622528 is a `hidden beast` number, since 3 + 8 + 622 + 5 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×38622528² = 2983399338221568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 38622492 and 38622501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374925 + ... + 375027.

Almost surely, 2^38622528 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 38622528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67624960).

38622528 is an abundant number, since it is smaller than the sum of its proper divisors (96627392).

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

38622528 is a wasteful number, since it uses less digits than its factorization.

38622528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

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

The square root of 38622528 is about 6214.7025672996. The cubic root of 38622528 is about 338.0235036117.

The spelling of 38622528 in words is "thirty-eight million, six hundred twenty-two thousand, five hundred twenty-eight".