2976697728 has 128 divisors (see below), whose sum is σ = 8805456000. Its totient is φ = 989968896.

The previous prime is 2976697723. The next prime is 2976697729. The reversal of 2976697728 is 8277966792.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2976697723) 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, 2276851 + ... + 2278157.

It is an arithmetic number, because the mean of its divisors is an integer number (68792625).

Almost surely, 2^2976697728 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 2976697728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402728000).

2976697728 is an abundant number, since it is smaller than the sum of its proper divisors (5828758272).

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

2976697728 is a wasteful number, since it uses less digits than its factorization.

2976697728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1971 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The square root of 2976697728 is about 54559.1214005504. The cubic root of 2976697728 is about 1438.5056720531.

The spelling of 2976697728 in words is "two billion, nine hundred seventy-six million, six hundred ninety-seven thousand, seven hundred twenty-eight".