2732928000 has 352 divisors, whose sum is σ = 9932502528. Its totient is φ = 661504000.

The previous prime is 2732927999. The next prime is 2732928001. The reversal of 2732928000 is 8292372.

It is an interprime number because it is at equal distance from previous prime (2732927999) and next prime (2732928001).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2732928001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4223677 + ... + 4224323.

Almost surely, 2^2732928000 is an apocalyptic number.

2732928000 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 2732928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966251264).

2732928000 is an abundant number, since it is smaller than the sum of its proper divisors (7199574528).

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

2732928000 is a wasteful number, since it uses less digits than its factorization.

2732928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2732928000 is about 52277.4138610548. The cubic root of 2732928000 is about 1398.1144684934.

The spelling of 2732928000 in words is "two billion, seven hundred thirty-two million, nine hundred twenty-eight thousand".