38528880 has 160 divisors (see below), whose sum is σ = 131616576. Its totient is φ = 9265152.

The previous prime is 38528869. The next prime is 38528909. The reversal of 38528880 is 8882583.

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, 165244 + ... + 165476.

Almost surely, 2^38528880 is an apocalyptic number.

38528880 is a gapful number since it is divisible by the number (30) 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 38528880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65808288).

38528880 is an abundant number, since it is smaller than the sum of its proper divisors (93087696).

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

38528880 is a wasteful number, since it uses less digits than its factorization.

38528880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 38528880 is about 6207.1636034505. The cubic root of 38528880 is about 337.7500807673.

The spelling of 38528880 in words is "thirty-eight million, five hundred twenty-eight thousand, eight hundred eighty".