152928000 has 360 divisors, whose sum is σ = 578738160. Its totient is φ = 40089600.

The previous prime is 152927977. The next prime is 152928011. The reversal of 152928000 is 829251.

152928000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2591971 + ... + 2592029.

It is an arithmetic number, because the mean of its divisors is an integer number (1607606).

Almost surely, 2^152928000 is an apocalyptic number.

152928000 is a gapful number since it is divisible by the number (10) 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 152928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289369080).

152928000 is an abundant number, since it is smaller than the sum of its proper divisors (425810160).

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

152928000 is an frugal number, since it uses more digits than its factorization.

152928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 152928000 is about 12366.4061068687. The cubic root of 152928000 is about 534.7642132151.

The spelling of 152928000 in words is "one hundred fifty-two million, nine hundred twenty-eight thousand".