1357828220 has 72 divisors (see below), whose sum is σ = 3406719456. Its totient is φ = 452946816.

The previous prime is 1357828193. The next prime is 1357828271. The reversal of 1357828220 is 228287531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17537 + ... + 54983.

It is an arithmetic number, because the mean of its divisors is an integer number (47315548).

Almost surely, 2^1357828220 is an apocalyptic number.

1357828220 is a gapful number since it is divisible by the number (10) 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 1357828220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703359728).

1357828220 is an abundant number, since it is smaller than the sum of its proper divisors (2048891236).

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

1357828220 is a wasteful number, since it uses less digits than its factorization.

1357828220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37507 (or 37498 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 1357828220 is about 36848.7207376321. The cubic root of 1357828220 is about 1107.3415862164.

The spelling of 1357828220 in words is "one billion, three hundred fifty-seven million, eight hundred twenty-eight thousand, two hundred twenty".