1528800980 has 54 divisors (see below), whose sum is σ = 3737634894. Its totient is φ = 523740672.

The previous prime is 1528800899. The next prime is 1528801003. The reversal of 1528800980 is 890088251.

It can be written as a sum of positive squares in 3 ways, for example, as 79780624 + 1449020356 = 8932^2 + 38066^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1223396 + ... + 1224644.

It is an arithmetic number, because the mean of its divisors is an integer number (69215461).

Almost surely, 2^1528800980 is an apocalyptic number.

1528800980 is a gapful number since it is divisible by the number (10) 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 1528800980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868817447).

1528800980 is an abundant number, since it is smaller than the sum of its proper divisors (2208833914).

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

1528800980 is an equidigital number, since it uses as much as digits as its factorization.

1528800980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 41.

The square root of 1528800980 is about 39099.8846545613. The cubic root of 1528800980 is about 1151.9942661832.

Multiplying 1528800980 by its product of nonzero digits (46080), we get a square (70447149158400 = 8393280²).

The spelling of 1528800980 in words is "one billion, five hundred twenty-eight million, eight hundred thousand, nine hundred eighty".