2828133504 has 96 divisors (see below), whose sum is σ = 9300882240. Its totient is φ = 808035840.

The previous prime is 2828133493. The next prime is 2828133541. The reversal of 2828133504 is 4053318282.

2828133504 is a `hidden beast` number, since 28 + 281 + 3 + 350 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167292 + ... + 183419.

It is an arithmetic number, because the mean of its divisors is an integer number (96884190).

Almost surely, 2^2828133504 is an apocalyptic number.

2828133504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2828133504 is an abundant number, since it is smaller than the sum of its proper divisors (6472748736).

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

2828133504 is a wasteful number, since it uses less digits than its factorization.

2828133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350738 (or 350723 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2828133504 is about 53180.1984200887. The cubic root of 2828133504 is about 1414.1646238886.

The spelling of 2828133504 in words is "two billion, eight hundred twenty-eight million, one hundred thirty-three thousand, five hundred four".