2928228880500 has 1536 divisors, whose sum is σ = 12520463155200. Its totient is φ = 572438016000.

The previous prime is 2928228880403. The next prime is 2928228880531. The reversal of 2928228880500 is 50888228292.

2928228880500 is a `hidden beast` number, since 2 + 9 + 282 + 288 + 80 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 511 ways as a sum of consecutive naturals, for example, 3416836072 + ... + 3416836928.

It is an arithmetic number, because the mean of its divisors is an integer number (8151343200).

Almost surely, 2^{2928228880500} is an apocalyptic number.

2928228880500 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 2928228880500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260231577600).

2928228880500 is an abundant number, since it is smaller than the sum of its proper divisors (9592234274700).

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

2928228880500 is a wasteful number, since it uses less digits than its factorization.

2928228880500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 2928228880500 in words is "two trillion, nine hundred twenty-eight billion, two hundred twenty-eight million, eight hundred eighty thousand, five hundred".