2828032496640 has 880 divisors, whose sum is σ = 11209366464912. Its totient is φ = 677268946944.

The previous prime is 2828032496593. The next prime is 2828032496659. The reversal of 2828032496640 is 466942308282.

2828032496640 is a `hidden beast` number, since 2 + 8 + 2 + 80 + 32 + 496 + 6 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 280510055424 + 2547522441216 = 529632^2 + 1596096^2 .

It is a super-2 number, since 2×2828032496640² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 199473232 + ... + 199487408.

Almost surely, 2^{2828032496640} is an apocalyptic number.

2828032496640 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 2828032496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604683232456).

2828032496640 is an abundant number, since it is smaller than the sum of its proper divisors (8381333968272).

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

2828032496640 is a wasteful number, since it uses less digits than its factorization.

2828032496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14264 (or 14237 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 2828032496640 in words is "two trillion, eight hundred twenty-eight billion, thirty-two million, four hundred ninety-six thousand, six hundred forty".