2928974400 has 567 divisors, whose sum is σ = 11728586779. Its totient is φ = 692736000.

The previous prime is 2928974383. The next prime is 2928974413. The reversal of 2928974400 is 44798292.

The square root of 2928974400 is 54120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1232852544 + 1696121856 = 35112^2 + 41184^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 71438380 + ... + 71438420.

Almost surely, 2^2928974400 is an apocalyptic number.

2928974400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2928974400 is the 54120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2928974400

2928974400 is an abundant number, since it is smaller than the sum of its proper divisors (8799612379).

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

2928974400 is a wasteful number, since it uses less digits than its factorization.

2928974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The cubic root of 2928974400 is about 1430.7766983788.

The spelling of 2928974400 in words is "two billion, nine hundred twenty-eight million, nine hundred seventy-four thousand, four hundred".