2828574245376 has 1920 divisors, whose sum is σ = 10466930073600. Its totient is φ = 758738534400.

The previous prime is 2828574245369. The next prime is 2828574245383. The reversal of 2828574245376 is 6735424758282.

It is a happy number.

2828574245376 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 5 + 74 + 24 + 537 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2828574245369) and next prime (2828574245383).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91244330481 + ... + 91244330511.

It is an arithmetic number, because the mean of its divisors is an integer number (5451526080).

Almost surely, 2^{2828574245376} 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 2828574245376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5233465036800).

2828574245376 is an abundant number, since it is smaller than the sum of its proper divisors (7638355828224).

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

2828574245376 is an equidigital number, since it uses as much as digits as its factorization.

2828574245376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 95 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 63.

The spelling of 2828574245376 in words is "two trillion, eight hundred twenty-eight billion, five hundred seventy-four million, two hundred forty-five thousand, three hundred seventy-six".