38528620032 has 240 divisors, whose sum is σ = 119738139840. Its totient is φ = 10977103872.

The previous prime is 38528619991. The next prime is 38528620049. The reversal of 38528620032 is 23002682583.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46588003 + ... + 46588829.

It is an arithmetic number, because the mean of its divisors is an integer number (498908916).

Almost surely, 2^38528620032 is an apocalyptic number.

38528620032 is a gapful number since it is divisible by the number (32) 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 38528620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59869069920).

38528620032 is an abundant number, since it is smaller than the sum of its proper divisors (81209519808).

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

38528620032 is an equidigital number, since it uses as much as digits as its factorization.

38528620032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 38528620032 in words is "thirty-eight billion, five hundred twenty-eight million, six hundred twenty thousand, thirty-two".