253238678728 has 128 divisors (see below), whose sum is σ = 616605696000. Its totient is φ = 94956744960.

The previous prime is 253238678717. The next prime is 253238678729. The reversal of 253238678728 is 827876832352.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (253238678729) 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, 531273 + ... + 888103.

It is an arithmetic number, because the mean of its divisors is an integer number (4817232000).

Almost surely, 2^253238678728 is an apocalyptic number.

253238678728 is a gapful number since it is divisible by the number (28) 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 253238678728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308302848000).

253238678728 is an abundant number, since it is smaller than the sum of its proper divisors (363367017272).

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

253238678728 is a wasteful number, since it uses less digits than its factorization.

253238678728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356915 (or 356911 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 61.

The spelling of 253238678728 in words is "two hundred fifty-three billion, two hundred thirty-eight million, six hundred seventy-eight thousand, seven hundred twenty-eight".