1525888728 has 192 divisors, whose sum is σ = 5107415040. Its totient is φ = 400764672.

The previous prime is 1525888723. The next prime is 1525888783. The reversal of 1525888728 is 8278885251.

1525888728 is a `hidden beast` number, since 1 + 52 + 588 + 8 + 7 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1525888723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3033325 + ... + 3033827.

It is an arithmetic number, because the mean of its divisors is an integer number (26601120).

Almost surely, 2^1525888728 is an apocalyptic number.

1525888728 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 1525888728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553707520).

1525888728 is an abundant number, since it is smaller than the sum of its proper divisors (3581526312).

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

1525888728 is a wasteful number, since it uses less digits than its factorization.

1525888728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 991 counting only the distinct ones).

The product of its digits is 2867200, while the sum is 54.

The square root of 1525888728 is about 39062.6257181977. The cubic root of 1525888728 is about 1151.2623134561.

The spelling of 1525888728 in words is "one billion, five hundred twenty-five million, eight hundred eighty-eight thousand, seven hundred twenty-eight".