2928979200 has 864 divisors, whose sum is σ = 12328099840. Its totient is φ = 597196800.

The previous prime is 2928979199. The next prime is 2928979201. The reversal of 2928979200 is 29798292.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2928979199) and next prime (2928979201).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2928979200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928979201) 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 95 ways as a sum of consecutive naturals, for example, 79161582 + ... + 79161618.

Almost surely, 2^2928979200 is an apocalyptic number.

2928979200 is a gapful number since it is divisible by the number (20) 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 2928979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164049920).

2928979200 is an abundant number, since it is smaller than the sum of its proper divisors (9399120640).

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

2928979200 is a wasteful number, since it uses less digits than its factorization.

2928979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 2928979200 is about 54120.0443458798. The cubic root of 2928979200 is about 1430.7774799635. Note that the first 3 decimals are identical.

The spelling of 2928979200 in words is "two billion, nine hundred twenty-eight million, nine hundred seventy-nine thousand, two hundred".