152828256 has 144 divisors (see below), whose sum is σ = 476252784. Its totient is φ = 42771456.

The previous prime is 152828243. The next prime is 152828341. The reversal of 152828256 is 652828251.

152828256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249006 + ... + 249618.

It is an arithmetic number, because the mean of its divisors is an integer number (3307311).

Almost surely, 2^152828256 is an apocalyptic number.

152828256 is a gapful number since it is divisible by the number (16) 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 152828256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238126392).

152828256 is an abundant number, since it is smaller than the sum of its proper divisors (323424528).

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

152828256 is a wasteful number, since it uses less digits than its factorization.

152828256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 678 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 152828256 is about 12362.3725878166. The cubic root of 152828256 is about 534.6479251091.

The spelling of 152828256 in words is "one hundred fifty-two million, eight hundred twenty-eight thousand, two hundred fifty-six".