151232928 has 192 divisors, whose sum is σ = 508032000. Its totient is φ = 38246400.

The previous prime is 151232927. The next prime is 151232929. The reversal of 151232928 is 829232151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151232927) and next prime (151232929).

It is a super-2 number, since 2×151232928² = 45742797022906368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (151232927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302823 + ... + 303321.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^151232928 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 151232928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

151232928 is an abundant number, since it is smaller than the sum of its proper divisors (356799072).

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

151232928 is a wasteful number, since it uses less digits than its factorization.

151232928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 563 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 151232928 is about 12297.6797811620. The cubic root of 151232928 is about 532.7810713906.

It can be divided in two parts, 1512 and 32928, that multiplied together give a 4-th power (49787136 = 84⁴).

The spelling of 151232928 in words is "one hundred fifty-one million, two hundred thirty-two thousand, nine hundred twenty-eight".