238528507392 has 960 divisors, whose sum is σ = 868737492480. Its totient is φ = 61487382528.

The previous prime is 238528507381. The next prime is 238528507457. The reversal of 238528507392 is 293705825832.

It is a happy number.

238528507392 is a `hidden beast` number, since 2 + 3 + 85 + 28 + 507 + 39 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1519289778 + ... + 1519289934.

It is an arithmetic number, because the mean of its divisors is an integer number (904934888).

Almost surely, 2^238528507392 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 238528507392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434368746240).

238528507392 is an abundant number, since it is smaller than the sum of its proper divisors (630208985088).

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

238528507392 is a wasteful number, since it uses less digits than its factorization.

238528507392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 238528507392 in words is "two hundred thirty-eight billion, five hundred twenty-eight million, five hundred seven thousand, three hundred ninety-two".