2828792232 has 96 divisors (see below), whose sum is σ = 8789489280. Its totient is φ = 805115520.

The previous prime is 2828792227. The next prime is 2828792237. The reversal of 2828792232 is 2322978282.

2828792232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2828792227) and next prime (2828792237).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2828792237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121882 + ... + 143222.

It is an arithmetic number, because the mean of its divisors is an integer number (91557180).

Almost surely, 2^2828792232 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 2828792232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394744640).

2828792232 is an abundant number, since it is smaller than the sum of its proper divisors (5960697048).

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

2828792232 is a wasteful number, since it uses less digits than its factorization.

2828792232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21623 (or 21616 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2828792232 is about 53186.3914173541. The cubic root of 2828792232 is about 1414.2744109639.

The spelling of 2828792232 in words is "two billion, eight hundred twenty-eight million, seven hundred ninety-two thousand, two hundred thirty-two".