152089728 has 192 divisors, whose sum is σ = 481399200. Its totient is φ = 42405888.

The previous prime is 152089681. The next prime is 152089747. The reversal of 152089728 is 827980251.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×152089728² = 46262570726227968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 152089728.

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, 1110076 + ... + 1110212.

Almost surely, 2^152089728 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 152089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240699600).

152089728 is an abundant number, since it is smaller than the sum of its proper divisors (329309472).

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

152089728 is a wasteful number, since it uses less digits than its factorization.

152089728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 152089728 is about 12332.4664199827. The cubic root of 152089728 is about 533.7853223959.

The spelling of 152089728 in words is "one hundred fifty-two million, eighty-nine thousand, seven hundred twenty-eight".