2828820610560 has 320 divisors, whose sum is σ = 10668701159424. Its totient is φ = 625729536000.

The previous prime is 2828820610547. The next prime is 2828820610639. The reversal of 2828820610560 is 650160288282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817860 + ... + 2515260.

Almost surely, 2^{2828820610560} is an apocalyptic number.

2828820610560 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 2828820610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334350579712).

2828820610560 is an abundant number, since it is smaller than the sum of its proper divisors (7839880548864).

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

2828820610560 is a wasteful number, since it uses less digits than its factorization.

2828820610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697465 (or 1697449 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 2828820610560 in words is "two trillion, eight hundred twenty-eight billion, eight hundred twenty million, six hundred ten thousand, five hundred sixty".