1057142328 has 64 divisors (see below), whose sum is σ = 2888075520. Its totient is φ = 319795200.

The previous prime is 1057142323. The next prime is 1057142329. The reversal of 1057142328 is 8232417501.

1057142328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057142328² = 2235099803298519168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057142323) 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, 166101 + ... + 172347.

It is an arithmetic number, because the mean of its divisors is an integer number (45126180).

Almost surely, 2^1057142328 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 1057142328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444037760).

1057142328 is an abundant number, since it is smaller than the sum of its proper divisors (1830933192).

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

1057142328 is a wasteful number, since it uses less digits than its factorization.

1057142328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6908 (or 6904 counting only the distinct ones).

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

The square root of 1057142328 is about 32513.7252248954. The cubic root of 1057142328 is about 1018.6957339556.

Adding to 1057142328 its reverse (8232417501), we get a palindrome (9289559829).

The spelling of 1057142328 in words is "one billion, fifty-seven million, one hundred forty-two thousand, three hundred twenty-eight".