728593152 has 216 divisors, whose sum is σ = 2376763200. Its totient is φ = 197019648.

The previous prime is 728593147. The next prime is 728593153. The reversal of 728593152 is 251395827.

It is a happy number.

It is a super-2 number, since 2×728593152² = 1061695962282590208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (151200) is a multiple of the sum of its prime divisors (1050).

It is not an unprimeable number, because it can be changed into a prime (728593153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714499 + ... + 715517.

Almost surely, 2^728593152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728593152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188381600).

728593152 is an abundant number, since it is smaller than the sum of its proper divisors (1648170048).

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

728593152 is a wasteful number, since it uses less digits than its factorization.

728593152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1050 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 728593152 is about 26992.4647262898. The cubic root of 728593152 is about 899.8325416833.

The spelling of 728593152 in words is "seven hundred twenty-eight million, five hundred ninety-three thousand, one hundred fifty-two".