2828531574000 has 720 divisors, whose sum is σ = 11209418717952. Its totient is φ = 663569280000.

The previous prime is 2828531573957. The next prime is 2828531574007. The reversal of 2828531574000 is 4751358282.

2828531574000 is a `hidden beast` number, since 2 + 8 + 28 + 53 + 1 + 574 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2828531574000² (a number of 26 digits) contains 22 as substring.

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 (2828531574007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67497054 + ... + 67538946.

Almost surely, 2^{2828531574000} is an apocalyptic number.

2828531574000 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 2828531574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604709358976).

2828531574000 is an abundant number, since it is smaller than the sum of its proper divisors (8380887143952).

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

2828531574000 is a wasteful number, since it uses less digits than its factorization.

2828531574000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41975 (or 41945 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 2828531574000 in words is "two trillion, eight hundred twenty-eight billion, five hundred thirty-one million, five hundred seventy-four thousand".