1057218432 has 128 divisors (see below), whose sum is σ = 2930256000. Its totient is φ = 337311744.

The previous prime is 1057218431. The next prime is 1057218439. The reversal of 1057218432 is 2348127501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1057218432² = 2235421625921077248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057218393 and 1057218402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057218431) 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, 1547563 + ... + 1548245.

It is an arithmetic number, because the mean of its divisors is an integer number (22892625).

Almost surely, 2^1057218432 is an apocalyptic number.

1057218432 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 1057218432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465128000).

1057218432 is an abundant number, since it is smaller than the sum of its proper divisors (1873037568).

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

1057218432 is a wasteful number, since it uses less digits than its factorization.

1057218432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1057218432 is about 32514.8955403520. The cubic root of 1057218432 is about 1018.7201787750.

The spelling of 1057218432 in words is "one billion, fifty-seven million, two hundred eighteen thousand, four hundred thirty-two".