152152892928 has 120 divisors (see below), whose sum is σ = 446567121000. Its totient is φ = 49857921024.

The previous prime is 152152892917. The next prime is 152152892939. The reversal of 152152892928 is 829298251251.

152152892928 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 528 + 92 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (152152892917) and next prime (152152892939).

It is a super-3 number, since 3×152152892928³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7953 + ... + 551696.

It is an arithmetic number, because the mean of its divisors is an integer number (3721392675).

Almost surely, 2^152152892928 is an apocalyptic number.

152152892928 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 152152892928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223283560500).

152152892928 is an abundant number, since it is smaller than the sum of its proper divisors (294414228072).

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

152152892928 is an equidigital number, since it uses as much as digits as its factorization.

152152892928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559732 (or 559713 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 152152892928 in words is "one hundred fifty-two billion, one hundred fifty-two million, eight hundred ninety-two thousand, nine hundred twenty-eight".