2828071971504 has 200 divisors, whose sum is σ = 8817264863792. Its totient is φ = 869942177280.

The previous prime is 2828071971497. The next prime is 2828071971631. The reversal of 2828071971504 is 4051791708282.

2828071971504 is a `hidden beast` number, since 28 + 28 + 0 + 7 + 1 + 97 + 1 + 504 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68938359 + ... + 68979369.

Almost surely, 2^{2828071971504} is an apocalyptic number.

2828071971504 is a gapful number since it is divisible by the number (24) 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 2828071971504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408632431896).

2828071971504 is an abundant number, since it is smaller than the sum of its proper divisors (5989192892288).

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

2828071971504 is a wasteful number, since it uses less digits than its factorization.

2828071971504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45137 (or 45122 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 2828071971504 in words is "two trillion, eight hundred twenty-eight billion, seventy-one million, nine hundred seventy-one thousand, five hundred four".