2828326824960 has 704 divisors, whose sum is σ = 11618028398592. Its totient is φ = 570793918464.

The previous prime is 2828326824821. The next prime is 2828326824997. The reversal of 2828326824960 is 694286238282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2828326824894 and 2828326824903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32104492 + ... + 32192468.

It is an arithmetic number, because the mean of its divisors is an integer number (16502881248).

Almost surely, 2^{2828326824960} is an apocalyptic number.

2828326824960 is a gapful number since it is divisible by the number (20) 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 2828326824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809014199296).

2828326824960 is an abundant number, since it is smaller than the sum of its proper divisors (8789701573632).

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

2828326824960 is a wasteful number, since it uses less digits than its factorization.

2828326824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88048 (or 88030 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 2828326824960 in words is "two trillion, eight hundred twenty-eight billion, three hundred twenty-six million, eight hundred twenty-four thousand, nine hundred sixty".