2728480000 has 90 divisors (see below), whose sum is σ = 6806097914. Its totient is φ = 1091328000.

The previous prime is 2728479977. The next prime is 2728480003. The reversal of 2728480000 is 848272.

It can be written as a sum of positive squares in 5 ways, for example, as 1251461376 + 1477018624 = 35376^2 + 38432^2 .

It is a super-2 number, since 2×2728480000² = 14889206220800000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728480003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 151474 + ... + 168526.

Almost surely, 2^2728480000 is an apocalyptic number.

2728480000 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 2728480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403048957).

2728480000 is an abundant number, since it is smaller than the sum of its proper divisors (4077617914).

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

2728480000 is an frugal number, since it uses more digits than its factorization.

2728480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17089 (or 17060 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 2728480000 is about 52234.8542641788. The cubic root of 2728480000 is about 1397.3555522887.

The spelling of 2728480000 in words is "two billion, seven hundred twenty-eight million, four hundred eighty thousand".