1528663752 has 160 divisors (see below), whose sum is σ = 5338365120. Its totient is φ = 397042560.

The previous prime is 1528663709. The next prime is 1528663777. The reversal of 1528663752 is 2573668251.

1528663752 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 6 + 637 + 5 + 2 = 666.

1528663752 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1528663698 and 1528663707.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34578 + ... + 65214.

It is an arithmetic number, because the mean of its divisors is an integer number (33364782).

Almost surely, 2^1528663752 is an apocalyptic number.

1528663752 is a gapful number since it is divisible by the number (12) 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 1528663752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669182560).

1528663752 is an abundant number, since it is smaller than the sum of its proper divisors (3809701368).

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

1528663752 is a wasteful number, since it uses less digits than its factorization.

1528663752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30673 (or 30660 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 1528663752 is about 39098.1297762438. The cubic root of 1528663752 is about 1151.9597967741.

The spelling of 1528663752 in words is "one billion, five hundred twenty-eight million, six hundred sixty-three thousand, seven hundred fifty-two".