2828073512160 has 576 divisors, whose sum is σ = 10870261129728. Its totient is φ = 664326254592.

The previous prime is 2828073512153. The next prime is 2828073512167. The reversal of 2828073512160 is 612153708282.

2828073512160 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 0 + 73 + 512 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2828073512153) and next prime (2828073512167).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828073512167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190730667 + ... + 190745493.

It is an arithmetic number, because the mean of its divisors is an integer number (18871981128).

Almost surely, 2^{2828073512160} is an apocalyptic number.

2828073512160 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 2828073512160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5435130564864).

2828073512160 is an abundant number, since it is smaller than the sum of its proper divisors (8042187617568).

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

2828073512160 is a wasteful number, since it uses less digits than its factorization.

2828073512160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15327 (or 15316 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2828073512160 in words is "two trillion, eight hundred twenty-eight billion, seventy-three million, five hundred twelve thousand, one hundred sixty".