2769828732 has 72 divisors (see below), whose sum is σ = 7844486832. Its totient is φ = 816652800.

The previous prime is 2769828713. The next prime is 2769828779. The reversal of 2769828732 is 2378289672.

2769828732 is a `hidden beast` number, since 276 + 98 + 287 + 3 + 2 = 666.

2769828732 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2769828732³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79869 + ... + 109172.

It is an arithmetic number, because the mean of its divisors is an integer number (108951206).

Almost surely, 2^2769828732 is an apocalyptic number.

2769828732 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2769828732 is an abundant number, since it is smaller than the sum of its proper divisors (5074658100).

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

2769828732 is a wasteful number, since it uses less digits than its factorization.

2769828732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189099 (or 189094 counting only the distinct ones).

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

The square root of 2769828732 is about 52629.1623722058. The cubic root of 2769828732 is about 1404.3789307633.

The spelling of 2769828732 in words is "two billion, seven hundred sixty-nine million, eight hundred twenty-eight thousand, seven hundred thirty-two".