238633982928 has 320 divisors, whose sum is σ = 813697920000. Its totient is φ = 66144314880.

The previous prime is 238633982911. The next prime is 238633982969. The reversal of 238633982928 is 829289336832.

238633982928 is a `hidden beast` number, since 2 + 3 + 8 + 6 + 339 + 8 + 292 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2572783 + ... + 2663921.

It is an arithmetic number, because the mean of its divisors is an integer number (2542806000).

Almost surely, 2^238633982928 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 238633982928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406848960000).

238633982928 is an abundant number, since it is smaller than the sum of its proper divisors (575063937072).

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

238633982928 is a wasteful number, since it uses less digits than its factorization.

238633982928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91215 (or 91203 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 238633982928 in words is "two hundred thirty-eight billion, six hundred thirty-three million, nine hundred eighty-two thousand, nine hundred twenty-eight".