152728480 has 48 divisors (see below), whose sum is σ = 362353824. Its totient is φ = 60832000.

The previous prime is 152728453. The next prime is 152728481. The reversal of 152728480 is 84827251.

It is a super-2 number, since 2×152728480² = 46651977206220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (152728481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38259 + ... + 42061.

It is an arithmetic number, because the mean of its divisors is an integer number (7549038).

Almost surely, 2^152728480 is an apocalyptic number.

152728480 is a gapful number since it is divisible by the number (10) 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 152728480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181176912).

152728480 is an abundant number, since it is smaller than the sum of its proper divisors (209625344).

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

152728480 is a wasteful number, since it uses less digits than its factorization.

152728480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 152728480 is about 12358.3364576305. The cubic root of 152728480 is about 534.5315490628.

The spelling of 152728480 in words is "one hundred fifty-two million, seven hundred twenty-eight thousand, four hundred eighty".