38828192256 has 480 divisors, whose sum is σ = 134819942400. Its totient is φ = 10517962752.

The previous prime is 38828192251. The next prime is 38828192257. The reversal of 38828192256 is 65229182883.

It is a happy number.

38828192256 is a `hidden beast` number, since 388 + 2 + 8 + 1 + 9 + 2 + 256 = 666.

It is not an unprimeable number, because it can be changed into a prime (38828192251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147635581 + ... + 147635843.

It is an arithmetic number, because the mean of its divisors is an integer number (280874880).

Almost surely, 2^38828192256 is an apocalyptic number.

38828192256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38828192256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67409971200).

38828192256 is an abundant number, since it is smaller than the sum of its proper divisors (95991750144).

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

38828192256 is a wasteful number, since it uses less digits than its factorization.

38828192256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 497 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 38828192256 in words is "thirty-eight billion, eight hundred twenty-eight million, one hundred ninety-two thousand, two hundred fifty-six".