152965728 has 144 divisors (see below), whose sum is σ = 465847200. Its totient is φ = 47443968.

The previous prime is 152965723. The next prime is 152965739. The reversal of 152965728 is 827569251.

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

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

Its product of digits (302400) is a multiple of the sum of its prime divisors (378).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152965721) 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, 768573 + ... + 768771.

It is an arithmetic number, because the mean of its divisors is an integer number (3235050).

Almost surely, 2^152965728 is an apocalyptic number.

152965728 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 152965728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232923600).

152965728 is an abundant number, since it is smaller than the sum of its proper divisors (312881472).

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

152965728 is a wasteful number, since it uses less digits than its factorization.

152965728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 152965728 is about 12367.9314357737. The cubic root of 152965728 is about 534.8081858151.

The spelling of 152965728 in words is "one hundred fifty-two million, nine hundred sixty-five thousand, seven hundred twenty-eight".