152828928 has 264 divisors, whose sum is σ = 531368448. Its totient is φ = 41361408.

The previous prime is 152828911. The next prime is 152828941. The reversal of 152828928 is 829828251.

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, 1483725 + ... + 1483827.

Almost surely, 2^152828928 is an apocalyptic number.

152828928 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 152828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265684224).

152828928 is an abundant number, since it is smaller than the sum of its proper divisors (378539520).

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

152828928 is a wasteful number, since it uses less digits than its factorization.

152828928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 152828928 is about 12362.3997670355. The cubic root of 152828928 is about 534.6487087401.

The spelling of 152828928 in words is "one hundred fifty-two million, eight hundred twenty-eight thousand, nine hundred twenty-eight".