153404328 has 256 divisors, whose sum is σ = 534988800. Its totient is φ = 35389440.

The previous prime is 153404327. The next prime is 153404341. The reversal of 153404328 is 823404351.

153404328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 153404295 and 153404304.

It is not an unprimeable number, because it can be changed into a prime (153404323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 596776 + ... + 597032.

It is an arithmetic number, because the mean of its divisors is an integer number (2089800).

Almost surely, 2^153404328 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 153404328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267494400).

153404328 is an abundant number, since it is smaller than the sum of its proper divisors (381584472).

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

153404328 is a wasteful number, since it uses less digits than its factorization.

153404328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 153404328 is about 12385.6500838672. The cubic root of 153404328 is about 535.3188514784.

Adding to 153404328 its reverse (823404351), we get a palindrome (976808679).

The spelling of 153404328 in words is "one hundred fifty-three million, four hundred four thousand, three hundred twenty-eight".