152928131328 has 432 divisors, whose sum is σ = 528946320000. Its totient is φ = 43455025152.

The previous prime is 152928131309. The next prime is 152928131329. The reversal of 152928131328 is 823131829251.

152928131328 is a `hidden beast` number, since 1 + 5 + 292 + 8 + 1 + 31 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (152928131329) 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, 67397778 + ... + 67400046.

Almost surely, 2^152928131328 is an apocalyptic number.

152928131328 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 152928131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264473160000).

152928131328 is an abundant number, since it is smaller than the sum of its proper divisors (376018188672).

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

152928131328 is a wasteful number, since it uses less digits than its factorization.

152928131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2480 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 152928131328 in words is "one hundred fifty-two billion, nine hundred twenty-eight million, one hundred thirty-one thousand, three hundred twenty-eight".