152728960 has 32 divisors (see below), whose sum is σ = 365119200. Its totient is φ = 61091328.

The previous prime is 152728957. The next prime is 152728963. The reversal of 152728960 is 69827251.

It is an interprime number because it is at equal distance from previous prime (152728957) and next prime (152728963).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×152728960² = 46652270445363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152728963) 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 3 ways as a sum of consecutive naturals, for example, 118680 + ... + 119959.

It is an arithmetic number, because the mean of its divisors is an integer number (11409975).

Almost surely, 2^152728960 is an apocalyptic number.

152728960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152728960 is an abundant number, since it is smaller than the sum of its proper divisors (212390240).

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

152728960 is an equidigital number, since it uses as much as digits as its factorization.

152728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238658 (or 238646 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 152728960 is about 12358.3558777048. The cubic root of 152728960 is about 534.5321090432.

The spelling of 152728960 in words is "one hundred fifty-two million, seven hundred twenty-eight thousand, nine hundred sixty".