2813459328 has 96 divisors (see below), whose sum is σ = 8121166560. Its totient is φ = 934907904.

The previous prime is 2813459279. The next prime is 2813459393. The reversal of 2813459328 is 8239543182.

2813459328 is a `hidden beast` number, since 2 + 8 + 1 + 34 + 593 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384601 + ... + 391847.

It is an arithmetic number, because the mean of its divisors is an integer number (84595485).

Almost surely, 2^2813459328 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 2813459328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060583280).

2813459328 is an abundant number, since it is smaller than the sum of its proper divisors (5307707232).

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

2813459328 is a wasteful number, since it uses less digits than its factorization.

2813459328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7604 (or 7589 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2813459328 is about 53042.0524489767. The cubic root of 2813459328 is about 1411.7145161373.

The spelling of 2813459328 in words is "two billion, eight hundred thirteen million, four hundred fifty-nine thousand, three hundred twenty-eight".