1027088832 has 112 divisors (see below), whose sum is σ = 3388108032. Its totient is φ = 266772480.

The previous prime is 1027088831. The next prime is 1027088857. The reversal of 1027088832 is 2388807201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1027088832² = 2109822937638248448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027088831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19953 + ... + 49520.

Almost surely, 2^1027088832 is an apocalyptic number.

1027088832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1027088832 is an abundant number, since it is smaller than the sum of its proper divisors (2361019200).

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

1027088832 is a wasteful number, since it uses less digits than its factorization.

1027088832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69506 (or 69496 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 1027088832 is about 32048.2266592085. The cubic root of 1027088832 is about 1008.9492821016.

The spelling of 1027088832 in words is "one billion, twenty-seven million, eighty-eight thousand, eight hundred thirty-two".