2728078080 has 576 divisors, whose sum is σ = 11065463808. Its totient is φ = 557383680.

The previous prime is 2728078069. The next prime is 2728078081. The reversal of 2728078080 is 808708272.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2728078081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12929175 + ... + 12929385.

Almost surely, 2^2728078080 is an apocalyptic number.

2728078080 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 2728078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532731904).

2728078080 is an abundant number, since it is smaller than the sum of its proper divisors (8337385728).

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

2728078080 is a wasteful number, since it uses less digits than its factorization.

2728078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 2728078080 is about 52231.0068828852. The cubic root of 2728078080 is about 1397.2869362188.

The spelling of 2728078080 in words is "two billion, seven hundred twenty-eight million, seventy-eight thousand, eighty".