2928402007200 has 1440 divisors, whose sum is σ = 12091209863040. Its totient is φ = 685626163200.

The previous prime is 2928402007169. The next prime is 2928402007229. The reversal of 2928402007200 is 27002048292.

It is a happy number.

2928402007200 is a `hidden beast` number, since 29 + 28 + 402 + 0 + 0 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1038807391 + ... + 1038810209.

It is an arithmetic number, because the mean of its divisors is an integer number (8396673516).

Almost surely, 2^{2928402007200} is an apocalyptic number.

2928402007200 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 2928402007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045604931520).

2928402007200 is an abundant number, since it is smaller than the sum of its proper divisors (9162807855840).

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

2928402007200 is a wasteful number, since it uses less digits than its factorization.

2928402007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2928402007200 in words is "two trillion, nine hundred twenty-eight billion, four hundred two million, seven thousand, two hundred".