2628896928 has 96 divisors (see below), whose sum is σ = 7932629376. Its totient is φ = 746738688.

The previous prime is 2628896927. The next prime is 2628896939. The reversal of 2628896928 is 8296988262.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2628896928² = 13822198116095674368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2628896927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104950 + ... + 127562.

It is an arithmetic number, because the mean of its divisors is an integer number (82631556).

Almost surely, 2^2628896928 is an apocalyptic number.

2628896928 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 2628896928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966314688).

2628896928 is an abundant number, since it is smaller than the sum of its proper divisors (5303732448).

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

2628896928 is a wasteful number, since it uses less digits than its factorization.

2628896928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22806 (or 22798 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 60.

The square root of 2628896928 is about 51272.7698491119. The cubic root of 2628896928 is about 1380.1443747291.

The spelling of 2628896928 in words is "two billion, six hundred twenty-eight million, eight hundred ninety-six thousand, nine hundred twenty-eight".