1033023872 has 64 divisors (see below), whose sum is σ = 2101191840. Its totient is φ = 505774080.

The previous prime is 1033023833. The next prime is 1033023917. The reversal of 1033023872 is 2783203301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1790048 + ... + 1790624.

Almost surely, 2^1033023872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050595920).

1033023872 is an abundant number, since it is smaller than the sum of its proper divisors (1068167968).

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

1033023872 is an equidigital number, since it uses as much as digits as its factorization.

1033023872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 1033023872 is about 32140.6887293972. The cubic root of 1033023872 is about 1010.8889575706. Note that the first 3 decimals are identical.

The spelling of 1033023872 in words is "one billion, thirty-three million, twenty-three thousand, eight hundred seventy-two".