32828411790720 has 2048 divisors, whose sum is σ = 155827929600000. Its totient is φ = 6335445860352.

The previous prime is 32828411790689. The next prime is 32828411790737. The reversal of 32828411790720 is 2709711482823.

32828411790720 is a `hidden beast` number, since 328 + 2 + 84 + 1 + 179 + 0 + 72 + 0 = 666.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 866417536 + ... + 866455424.

It is an arithmetic number, because the mean of its divisors is an integer number (76087856250).

Almost surely, 2^{32828411790720} is an apocalyptic number.

32828411790720 is a gapful number since it is divisible by the number (30) 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 32828411790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77913964800000).

32828411790720 is an abundant number, since it is smaller than the sum of its proper divisors (122999517809280).

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

32828411790720 is a wasteful number, since it uses less digits than its factorization.

32828411790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37985 (or 37967 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 32828411790720 in words is "thirty-two trillion, eight hundred twenty-eight billion, four hundred eleven million, seven hundred ninety thousand, seven hundred twenty".