2679273828 has 384 divisors, whose sum is σ = 9427353600. Its totient is φ = 636854400.

The previous prime is 2679273811. The next prime is 2679273829. The reversal of 2679273828 is 8283729762.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2679273829) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4897851 + ... + 4898397.

It is an arithmetic number, because the mean of its divisors is an integer number (24550400).

Almost surely, 2^2679273828 is an apocalyptic number.

2679273828 is a gapful number since it is divisible by the number (28) 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 2679273828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713676800).

2679273828 is an abundant number, since it is smaller than the sum of its proper divisors (6748079772).

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

2679273828 is a wasteful number, since it uses less digits than its factorization.

2679273828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2679273828 is about 51761.7023290386. The cubic root of 2679273828 is about 1388.9044432301.

The spelling of 2679273828 in words is "two billion, six hundred seventy-nine million, two hundred seventy-three thousand, eight hundred twenty-eight".