153325728 has 144 divisors (see below), whose sum is σ = 462309120. Its totient is φ = 48102912.

The previous prime is 153325709. The next prime is 153325747. The reversal of 153325728 is 827523351.

It is a happy number.

153325728 is a `hidden beast` number, since 1 + 53 + 32 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (153325709) and next prime (153325747).

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (50400) is a multiple of the sum of its prime divisors (400).

It is a junction number, because it is equal to n+sod(n) for n = 153325692 and 153325701.

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, 523150 + ... + 523442.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^153325728 is an apocalyptic number.

153325728 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 153325728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

153325728 is an abundant number, since it is smaller than the sum of its proper divisors (308983392).

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

153325728 is a wasteful number, since it uses less digits than its factorization.

153325728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 400 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 153325728 is about 12382.4766504928. The cubic root of 153325728 is about 535.2274084913.

It can be divided in two parts, 1533 and 25728, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 153325728 in words is "one hundred fifty-three million, three hundred twenty-five thousand, seven hundred twenty-eight".