38128590 has 64 divisors (see below), whose sum is σ = 102240000. Its totient is φ = 10111392.

The previous prime is 38128583. The next prime is 38128619. The reversal of 38128590 is 9582183.

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, 76161 + ... + 76659.

It is an arithmetic number, because the mean of its divisors is an integer number (1597500).

Almost surely, 2^38128590 is an apocalyptic number.

38128590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38128590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51120000).

38128590 is an abundant number, since it is smaller than the sum of its proper divisors (64111410).

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

38128590 is a wasteful number, since it uses less digits than its factorization.

38128590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 38128590 is about 6174.8352204735. The cubic root of 38128590 is about 336.5763386509.

The spelling of 38128590 in words is "thirty-eight million, one hundred twenty-eight thousand, five hundred ninety".