38982528 has 192 divisors, whose sum is σ = 128091600. Its totient is φ = 11280384.

The previous prime is 38982481. The next prime is 38982529. The reversal of 38982528 is 82528983.

38982528 is a `hidden beast` number, since 38 + 98 + 2 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38982529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284476 + ... + 284612.

Almost surely, 2^38982528 is an apocalyptic number.

38982528 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38982528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64045800).

38982528 is an abundant number, since it is smaller than the sum of its proper divisors (89109072).

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

38982528 is a wasteful number, since it uses less digits than its factorization.

38982528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 38982528 is about 6243.5989621371. The cubic root of 38982528 is about 339.0704946461.

The spelling of 38982528 in words is "thirty-eight million, nine hundred eighty-two thousand, five hundred twenty-eight".