2356828320 has 768 divisors, whose sum is σ = 10200121344. Its totient is φ = 446054400.

The previous prime is 2356828291. The next prime is 2356828321. The reversal of 2356828320 is 238286532.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2356828321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76026705 + ... + 76026735.

It is an arithmetic number, because the mean of its divisors is an integer number (13281408).

Almost surely, 2^2356828320 is an apocalyptic number.

2356828320 is a gapful number since it is divisible by the number (20) 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 2356828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100060672).

2356828320 is an abundant number, since it is smaller than the sum of its proper divisors (7843293024).

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

2356828320 is a wasteful number, since it uses less digits than its factorization.

2356828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 2356828320 is about 48547.1762309612. The cubic root of 2356828320 is about 1330.7893480802.

The spelling of 2356828320 in words is "two billion, three hundred fifty-six million, eight hundred twenty-eight thousand, three hundred twenty".