28332063325440 has 1152 divisors, whose sum is σ = 121985647902720. Its totient is φ = 6078713167872.

The previous prime is 28332063325439. The next prime is 28332063325477. The reversal of 28332063325440 is 4452336023382.

28332063325440 is a `hidden beast` number, since 2 + 8 + 3 + 3 + 2 + 0 + 633 + 2 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 1575132127 + ... + 1575150113.

It is an arithmetic number, because the mean of its divisors is an integer number (105890319360).

Almost surely, 2^{28332063325440} is an apocalyptic number.

28332063325440 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 28332063325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60992823951360).

28332063325440 is an abundant number, since it is smaller than the sum of its proper divisors (93653584577280).

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

28332063325440 is a wasteful number, since it uses less digits than its factorization.

28332063325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18424 (or 18404 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 28332063325440 in words is "twenty-eight trillion, three hundred thirty-two billion, sixty-three million, three hundred twenty-five thousand, four hundred forty".