1528064400 has 120 divisors (see below), whose sum is σ = 5052922624. Its totient is φ = 394329600.

The previous prime is 1528064399. The next prime is 1528064401. The reversal of 1528064400 is 44608251.

It is an interprime number because it is at equal distance from previous prime (1528064399) and next prime (1528064401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1528064401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16662 + ... + 57738.

Almost surely, 2^1528064400 is an apocalyptic number.

1528064400 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 1528064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526461312).

1528064400 is an abundant number, since it is smaller than the sum of its proper divisors (3524858224).

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

1528064400 is a wasteful number, since it uses less digits than its factorization.

1528064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41129 (or 41118 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1528064400 is about 39090.4643103660. The cubic root of 1528064400 is about 1151.8092252569.

The spelling of 1528064400 in words is "one billion, five hundred twenty-eight million, sixty-four thousand, four hundred".