2828153664 has 224 divisors, whose sum is σ = 9552838400. Its totient is φ = 803727360.

The previous prime is 2828153651. The next prime is 2828153687. The reversal of 2828153664 is 4663518282.

2828153664 is a `hidden beast` number, since 2 + 8 + 281 + 5 + 366 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2769474 + ... + 2770494.

It is an arithmetic number, because the mean of its divisors is an integer number (42646600).

Almost surely, 2^2828153664 is an apocalyptic number.

2828153664 is a gapful number since it is divisible by the number (24) 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 2828153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776419200).

2828153664 is an abundant number, since it is smaller than the sum of its proper divisors (6724684736).

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

2828153664 is a wasteful number, since it uses less digits than its factorization.

2828153664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1262 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2828153664 is about 53180.3879639854. The cubic root of 2828153664 is about 1414.1679841132.

The spelling of 2828153664 in words is "two billion, eight hundred twenty-eight million, one hundred fifty-three thousand, six hundred sixty-four".