2928472898400 has 504 divisors, whose sum is σ = 12250072288944. Its totient is φ = 669364300800.

The previous prime is 2928472898371. The next prime is 2928472898479. The reversal of 2928472898400 is 48982748292.

2928472898400 is a `hidden beast` number, since 2 + 9 + 2 + 8 + 472 + 89 + 84 + 0 + 0 = 666.

2928472898400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3723730 + ... + 4441070.

It is an arithmetic number, because the mean of its divisors is an integer number (24305698986).

Almost surely, 2^{2928472898400} is an apocalyptic number.

2928472898400 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 2928472898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6125036144472).

2928472898400 is an abundant number, since it is smaller than the sum of its proper divisors (9321599390544).

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

2928472898400 is an equidigital number, since it uses as much as digits as its factorization.

2928472898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717386 (or 717358 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 2928472898400 in words is "two trillion, nine hundred twenty-eight billion, four hundred seventy-two million, eight hundred ninety-eight thousand, four hundred".