2723428992 has 128 divisors (see below), whose sum is σ = 7647552000. Its totient is φ = 856341504.

The previous prime is 2723428979. The next prime is 2723428999. The reversal of 2723428992 is 2998243272.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2723428992² = 14834130948932272128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2723428999) 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 15 ways as a sum of consecutive naturals, for example, 2064109 + ... + 2065427.

It is an arithmetic number, because the mean of its divisors is an integer number (59746500).

Almost surely, 2^2723428992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2723428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823776000).

2723428992 is an abundant number, since it is smaller than the sum of its proper divisors (4924123008).

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

2723428992 is a wasteful number, since it uses less digits than its factorization.

2723428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1626 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 2723428992 is about 52186.4828475727. The cubic root of 2723428992 is about 1396.4927503027.

The spelling of 2723428992 in words is "two billion, seven hundred twenty-three million, four hundred twenty-eight thousand, nine hundred ninety-two".