2728267920 has 560 divisors, whose sum is σ = 11202532992. Its totient is φ = 604661760.

The previous prime is 2728267903. The next prime is 2728267921. The reversal of 2728267920 is 297628272.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×2728267920² = 14886891686602252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2728267921) 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 111 ways as a sum of consecutive naturals, for example, 16737759 + ... + 16737921.

Almost surely, 2^2728267920 is an apocalyptic number.

2728267920 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 2728267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601266496).

2728267920 is an abundant number, since it is smaller than the sum of its proper divisors (8474265072).

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

2728267920 is a wasteful number, since it uses less digits than its factorization.

2728267920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2728267920 is about 52232.8241625896. The cubic root of 2728267920 is about 1397.3193466792.

The spelling of 2728267920 in words is "two billion, seven hundred twenty-eight million, two hundred sixty-seven thousand, nine hundred twenty".