938628432 has 160 divisors (see below), whose sum is σ = 3162694400. Its totient is φ = 260900352.

The previous prime is 938628419. The next prime is 938628433. The reversal of 938628432 is 234826839.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938628433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107694 + ... + 116082.

It is an arithmetic number, because the mean of its divisors is an integer number (19766840).

Almost surely, 2^938628432 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 938628432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581347200).

938628432 is an abundant number, since it is smaller than the sum of its proper divisors (2224065968).

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

938628432 is a wasteful number, since it uses less digits than its factorization.

938628432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8450 (or 8438 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 938628432 is about 30637.0434604908. The cubic root of 938628432 is about 979.1094339056.

The spelling of 938628432 in words is "nine hundred thirty-eight million, six hundred twenty-eight thousand, four hundred thirty-two".