1004528832 has 56 divisors (see below), whose sum is σ = 2660513856. Its totient is φ = 334503168.

The previous prime is 1004528801. The next prime is 1004528839. The reversal of 1004528832 is 2388254001.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1004528793 and 1004528802.

It is not an unprimeable number, because it can be changed into a prime (1004528839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248943 + ... + 252945.

It is an arithmetic number, because the mean of its divisors is an integer number (47509176).

Almost surely, 2^1004528832 is an apocalyptic number.

1004528832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004528832 is an abundant number, since it is smaller than the sum of its proper divisors (1655985024).

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

1004528832 is a wasteful number, since it uses less digits than its factorization.

1004528832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5325 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1004528832 is about 31694.3028318971. The cubic root of 1004528832 is about 1001.5073374589.

The spelling of 1004528832 in words is "one billion, four million, five hundred twenty-eight thousand, eight hundred thirty-two".