1032528000 has 384 divisors, whose sum is σ = 3990729600. Its totient is φ = 235468800.

The previous prime is 1032527999. The next prime is 1032528011. The reversal of 1032528000 is 8252301.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1032528000² = 2132228141568000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351781 + ... + 2352219.

It is an arithmetic number, because the mean of its divisors is an integer number (10392525).

Almost surely, 2^1032528000 is an apocalyptic number.

1032528000 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 1032528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995364800).

1032528000 is an abundant number, since it is smaller than the sum of its proper divisors (2958201600).

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

1032528000 is an equidigital number, since it uses as much as digits as its factorization.

1032528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1032528000 is about 32132.9737185963. The cubic root of 1032528000 is about 1010.7271827492.

The spelling of 1032528000 in words is "one billion, thirty-two million, five hundred twenty-eight thousand".