2728428240 has 80 divisors (see below), whose sum is σ = 8474689728. Its totient is φ = 726156288.

The previous prime is 2728428223. The next prime is 2728428247. The reversal of 2728428240 is 428248272.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728428247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114652 + ... + 136388.

Almost surely, 2^2728428240 is an apocalyptic number.

2728428240 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 2728428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237344864).

2728428240 is an abundant number, since it is smaller than the sum of its proper divisors (5746261488).

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

2728428240 is a wasteful number, since it uses less digits than its factorization.

2728428240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22276 (or 22270 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 2728428240 is about 52234.3588072066. The cubic root of 2728428240 is about 1397.3467161625.

The spelling of 2728428240 in words is "two billion, seven hundred twenty-eight million, four hundred twenty-eight thousand, two hundred forty".