153032822928 has 120 divisors (see below), whose sum is σ = 437993308896. Its totient is φ = 49865587200.

The previous prime is 153032822927. The next prime is 153032822959. The reversal of 153032822928 is 829228230351.

153032822928 is a `hidden beast` number, since 1 + 5 + 30 + 328 + 2 + 292 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (153032822927) 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, 1203348 + ... + 1324428.

Almost surely, 2^153032822928 is an apocalyptic number.

153032822928 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 153032822928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218996654448).

153032822928 is an abundant number, since it is smaller than the sum of its proper divisors (284960485968).

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

153032822928 is a wasteful number, since it uses less digits than its factorization.

153032822928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121293 (or 121284 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 153032822928 in words is "one hundred fifty-three billion, thirty-two million, eight hundred twenty-two thousand, nine hundred twenty-eight".