2788128000 has 576 divisors, whose sum is σ = 11785213440. Its totient is φ = 635904000.

The previous prime is 2788127999. The next prime is 2788128019. The reversal of 2788128000 is 8218872.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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, 6047770 + ... + 6048230.

It is an arithmetic number, because the mean of its divisors is an integer number (20460440).

Almost surely, 2^2788128000 is an apocalyptic number.

2788128000 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 2788128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892606720).

2788128000 is an abundant number, since it is smaller than the sum of its proper divisors (8997085440).

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

2788128000 is an equidigital number, since it uses as much as digits as its factorization.

2788128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 2788128000 is about 52802.7272022951. The cubic root of 2788128000 is about 1407.4648879092.

The spelling of 2788128000 in words is "two billion, seven hundred eighty-eight million, one hundred twenty-eight thousand".