153329328 has 80 divisors (see below), whose sum is σ = 446400000. Its totient is φ = 50379840.

The previous prime is 153329327. The next prime is 153329347. The reversal of 153329328 is 823923351.

153329328 is a `hidden beast` number, since 1 + 5 + 3 + 329 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153329292 and 153329301.

It is not an unprimeable number, because it can be changed into a prime (153329327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28173 + ... + 33171.

It is an arithmetic number, because the mean of its divisors is an integer number (5580000).

Almost surely, 2^153329328 is an apocalyptic number.

153329328 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 153329328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223200000).

153329328 is an abundant number, since it is smaller than the sum of its proper divisors (293070672).

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

153329328 is a wasteful number, since it uses less digits than its factorization.

153329328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5075 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 153329328 is about 12382.6220163582. The cubic root of 153329328 is about 535.2315974025.

The spelling of 153329328 in words is "one hundred fifty-three million, three hundred twenty-nine thousand, three hundred twenty-eight".