1528597728 has 216 divisors, whose sum is σ = 5323729320. Its totient is φ = 413683200.

The previous prime is 1528597703. The next prime is 1528597739. The reversal of 1528597728 is 8277958251.

1528597728 is a `hidden beast` number, since 1 + 5 + 28 + 597 + 7 + 28 = 666.

It is a super-2 number, since 2×1528597728² = 4673222028093523968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 265278 + ... + 270978.

It is an arithmetic number, because the mean of its divisors is an integer number (24646895).

Almost surely, 2^1528597728 is an apocalyptic number.

1528597728 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 1528597728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661864660).

1528597728 is an abundant number, since it is smaller than the sum of its proper divisors (3795131592).

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

1528597728 is a wasteful number, since it uses less digits than its factorization.

1528597728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5750 (or 5732 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 54.

The square root of 1528597728 is about 39097.2854300653. The cubic root of 1528597728 is about 1151.9432118997.

The spelling of 1528597728 in words is "one billion, five hundred twenty-eight million, five hundred ninety-seven thousand, seven hundred twenty-eight".