2928899234016 has 384 divisors, whose sum is σ = 10280941977600. Its totient is φ = 792468334080.

The previous prime is 2928899233993. The next prime is 2928899234033. The reversal of 2928899234016 is 6104329988292.

2928899234016 is a `hidden beast` number, since 2 + 9 + 288 + 9 + 9 + 2 + 340 + 1 + 6 = 666.

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 63 ways as a sum of consecutive naturals, for example, 512849401 + ... + 512855111.

It is an arithmetic number, because the mean of its divisors is an integer number (26773286400).

Almost surely, 2^{2928899234016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2928899234016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140470988800).

2928899234016 is an abundant number, since it is smaller than the sum of its proper divisors (7352042743584).

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

2928899234016 is a wasteful number, since it uses less digits than its factorization.

2928899234016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10219 (or 10205 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 2928899234016 in words is "two trillion, nine hundred twenty-eight billion, eight hundred ninety-nine million, two hundred thirty-four thousand, sixteen".