2828620080 has 480 divisors, whose sum is σ = 11328774912. Its totient is φ = 623462400.

The previous prime is 2828620061. The next prime is 2828620097. The reversal of 2828620080 is 800268282.

2828620080 is a `hidden beast` number, since 2 + 8 + 28 + 620 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8545515 + ... + 8545845.

Almost surely, 2^2828620080 is an apocalyptic number.

2828620080 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 2828620080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5664387456).

2828620080 is an abundant number, since it is smaller than the sum of its proper divisors (8500154832).

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

2828620080 is a wasteful number, since it uses less digits than its factorization.

2828620080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2828620080 is about 53184.7730088227. The cubic root of 2828620080 is about 1414.2457208508.

The spelling of 2828620080 in words is "two billion, eight hundred twenty-eight million, six hundred twenty thousand, eighty".