1057852992 has 112 divisors (see below), whose sum is σ = 3230831232. Its totient is φ = 299212800.

The previous prime is 1057852973. The next prime is 1057853009. The reversal of 1057852992 is 2992587501.

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

It is a super-2 number, since 2×1057852992² = 2238105905366704128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131848 + ... + 139640.

Almost surely, 2^1057852992 is an apocalyptic number.

1057852992 is a gapful number since it is divisible by the number (12) 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 1057852992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615415616).

1057852992 is an abundant number, since it is smaller than the sum of its proper divisors (2172978240).

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

1057852992 is a wasteful number, since it uses less digits than its factorization.

1057852992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7916 (or 7906 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The square root of 1057852992 is about 32524.6520657793. The cubic root of 1057852992 is about 1018.9239555808.

The spelling of 1057852992 in words is "one billion, fifty-seven million, eight hundred fifty-two thousand, nine hundred ninety-two".