2828652088320 has 440 divisors, whose sum is σ = 10236800672208. Its totient is φ = 746827776000.

The previous prime is 2828652088279. The next prime is 2828652088343. The reversal of 2828652088320 is 238802568282.

2828652088320 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 6 + 520 + 88 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41852955 + ... + 41920485.

Almost surely, 2^{2828652088320} is an apocalyptic number.

2828652088320 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 2828652088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118400336104).

2828652088320 is an abundant number, since it is smaller than the sum of its proper divisors (7408148583888).

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

2828652088320 is a wasteful number, since it uses less digits than its factorization.

2828652088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67669 (or 67642 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 2828652088320 in words is "two trillion, eight hundred twenty-eight billion, six hundred fifty-two million, eighty-eight thousand, three hundred twenty".