2928094161408 has 1280 divisors, whose sum is σ = 10453730918400. Its totient is φ = 800402964480.

The previous prime is 2928094161403. The next prime is 2928094161449. The reversal of 2928094161408 is 8041614908292.

It is a happy number.

2928094161408 is a `hidden beast` number, since 2 + 9 + 2 + 80 + 9 + 416 + 140 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2928094161403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4072453273 + ... + 4072453991.

It is an arithmetic number, because the mean of its divisors is an integer number (8166977280).

Almost surely, 2^{2928094161408} 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 2928094161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5226865459200).

2928094161408 is an abundant number, since it is smaller than the sum of its proper divisors (7525636756992).

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

2928094161408 is a wasteful number, since it uses less digits than its factorization.

2928094161408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 2928094161408 in words is "two trillion, nine hundred twenty-eight billion, ninety-four million, one hundred sixty-one thousand, four hundred eight".