153530728 has 32 divisors (see below), whose sum is σ = 311661000. Its totient is φ = 70483968.

The previous prime is 153530719. The next prime is 153530743. The reversal of 153530728 is 827035351.

It can be written as a sum of positive squares in 4 ways, for example, as 43322724 + 110208004 = 6582^2 + 10498^2 .

It is a junction number, because it is equal to n+sod(n) for n = 153530693 and 153530702.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16248 + ... + 23896.

Almost surely, 2^153530728 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 153530728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155830500).

153530728 is an abundant number, since it is smaller than the sum of its proper divisors (158130272).

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

153530728 is a wasteful number, since it uses less digits than its factorization.

153530728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7861 (or 7857 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 153530728 is about 12390.7517124668. The cubic root of 153530728 is about 535.4658393499.

The spelling of 153530728 in words is "one hundred fifty-three million, five hundred thirty thousand, seven hundred twenty-eight".