2728114400 has 108 divisors (see below), whose sum is σ = 7320765816. Its totient is φ = 992006400.

The previous prime is 2728114399. The next prime is 2728114409. The reversal of 2728114400 is 44118272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728114409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82709 + ... + 110891.

Almost surely, 2^2728114400 is an apocalyptic number.

2728114400 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 2728114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660382908).

2728114400 is an abundant number, since it is smaller than the sum of its proper divisors (4592651416).

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

2728114400 is a wasteful number, since it uses less digits than its factorization.

2728114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28225 (or 28201 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 2728114400 is about 52231.3545679221. The cubic root of 2728114400 is about 1397.2931370722.

The spelling of 2728114400 in words is "two billion, seven hundred twenty-eight million, one hundred fourteen thousand, four hundred".