2928747689280 has 1120 divisors, whose sum is σ = 12780418692096. Its totient is φ = 621371326464.

The previous prime is 2928747689269. The next prime is 2928747689327. The reversal of 2928747689280 is 829867478292.

2928747689280 is a `hidden beast` number, since 2 + 9 + 287 + 4 + 7 + 68 + 9 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2928747689199 and 2928747689208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 225160537 + ... + 225173543.

Almost surely, 2^{2928747689280} is an apocalyptic number.

2928747689280 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 2928747689280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390209346048).

2928747689280 is an abundant number, since it is smaller than the sum of its proper divisors (9851671002816).

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

2928747689280 is a wasteful number, since it uses less digits than its factorization.

2928747689280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13133 (or 13114 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 2928747689280 in words is "two trillion, nine hundred twenty-eight billion, seven hundred forty-seven million, six hundred eighty-nine thousand, two hundred eighty".