152882236728 has 256 divisors, whose sum is σ = 494428032000. Its totient is φ = 43359846912.

The previous prime is 152882236721. The next prime is 152882236751. The reversal of 152882236728 is 827632288251.

152882236728 is a `hidden beast` number, since 1 + 528 + 82 + 2 + 36 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152882236721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1935301 + ... + 2012747.

It is an arithmetic number, because the mean of its divisors is an integer number (1931359500).

Almost surely, 2^152882236728 is an apocalyptic number.

152882236728 is a gapful number since it is divisible by the number (18) 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 152882236728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247214016000).

152882236728 is an abundant number, since it is smaller than the sum of its proper divisors (341545795272).

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

152882236728 is a wasteful number, since it uses less digits than its factorization.

152882236728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77531 (or 77521 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 152882236728 in words is "one hundred fifty-two billion, eight hundred eighty-two million, two hundred thirty-six thousand, seven hundred twenty-eight".