2728764000 has 288 divisors, whose sum is σ = 9756059040. Its totient is φ = 722304000.

The previous prime is 2728763981. The next prime is 2728764053. The reversal of 2728764000 is 4678272.

2728764000 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 7 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 8243835 + ... + 8244165.

It is an arithmetic number, because the mean of its divisors is an integer number (33875205).

Almost surely, 2^2728764000 is an apocalyptic number.

2728764000 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 2728764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878029520).

2728764000 is an abundant number, since it is smaller than the sum of its proper divisors (7027295040).

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

2728764000 is a wasteful number, since it uses less digits than its factorization.

2728764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2728764000 is about 52237.5726848023. The cubic root of 2728764000 is about 1397.4040329090.

The spelling of 2728764000 in words is "two billion, seven hundred twenty-eight million, seven hundred sixty-four thousand".