2828929824 has 72 divisors (see below), whose sum is σ = 9194028480. Its totient is φ = 808265088.

The previous prime is 2828929823. The next prime is 2828929837. The reversal of 2828929824 is 4289298282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (2828929823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 699604 + ... + 703635.

It is an arithmetic number, because the mean of its divisors is an integer number (127694840).

Almost surely, 2^2828929824 is an apocalyptic number.

2828929824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2828929824 is an abundant number, since it is smaller than the sum of its proper divisors (6365098656).

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

2828929824 is a wasteful number, since it uses less digits than its factorization.

2828929824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403262 (or 1403251 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 2828929824 is about 53187.6848903954. The cubic root of 2828929824 is about 1414.2973406189.

The spelling of 2828929824 in words is "two billion, eight hundred twenty-eight million, nine hundred twenty-nine thousand, eight hundred twenty-four".