32828229740250 has 384 divisors, whose sum is σ = 108491052983040. Its totient is φ = 7320577824000.

The previous prime is 32828229740239. The next prime is 32828229740269. The reversal of 32828229740250 is 5204792282823.

32828229740250 is a `hidden beast` number, since 3 + 2 + 8 + 2 + 8 + 229 + 7 + 402 + 5 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12350337 + ... + 14771163.

It is an arithmetic number, because the mean of its divisors is an integer number (282528783810).

Almost surely, 2^{32828229740250} is an apocalyptic number.

32828229740250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32828229740250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54245526491520).

32828229740250 is an abundant number, since it is smaller than the sum of its proper divisors (75662823242790).

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

32828229740250 is a wasteful number, since it uses less digits than its factorization.

32828229740250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420908 (or 2420885 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 32828229740250 in words is "thirty-two trillion, eight hundred twenty-eight billion, two hundred twenty-nine million, seven hundred forty thousand, two hundred fifty".