2728064102400 has 1872 divisors, whose sum is σ = 12562995396000. Its totient is φ = 575219957760.

The previous prime is 2728064102383. The next prime is 2728064102453. The reversal of 2728064102400 is 42014608272.

2728064102400 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 0 + 641 + 0 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1761176826 + ... + 1761178374.

Almost surely, 2^{2728064102400} is an apocalyptic number.

2728064102400 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 2728064102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6281497698000).

2728064102400 is an abundant number, since it is smaller than the sum of its proper divisors (9834931293600).

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

2728064102400 is a wasteful number, since it uses less digits than its factorization.

2728064102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 2728064102400 in words is "two trillion, seven hundred twenty-eight billion, sixty-four million, one hundred two thousand, four hundred".