38933657928 has 288 divisors, whose sum is σ = 122451376320. Its totient is φ = 11144390400.

The previous prime is 38933657897. The next prime is 38933657969. The reversal of 38933657928 is 82975633983.

38933657928 is a `hidden beast` number, since 3 + 8 + 9 + 3 + 36 + 579 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16630038 + ... + 16632378.

It is an arithmetic number, because the mean of its divisors is an integer number (425178390).

Almost surely, 2^38933657928 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 38933657928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61225688160).

38933657928 is an abundant number, since it is smaller than the sum of its proper divisors (83517718392).

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

38933657928 is a wasteful number, since it uses less digits than its factorization.

38933657928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2463 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 38933657928 in words is "thirty-eight billion, nine hundred thirty-three million, six hundred fifty-seven thousand, nine hundred twenty-eight".