28425464939520 has 3520 divisors, whose sum is σ = 123264903168000. Its totient is φ = 6186958848000.

The previous prime is 28425464939507. The next prime is 28425464939569. The reversal of 28425464939520 is 2593946452482.

28425464939520 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 54 + 6 + 493 + 95 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

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 319 ways as a sum of consecutive naturals, for example, 190774932406 + ... + 190774932554.

It is an arithmetic number, because the mean of its divisors is an integer number (35018438400).

Almost surely, 2^{28425464939520} is an apocalyptic number.

28425464939520 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 28425464939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61632451584000).

28425464939520 is an abundant number, since it is smaller than the sum of its proper divisors (94839438228480).

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

28425464939520 is a wasteful number, since it uses less digits than its factorization.

28425464939520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 28425464939520 in words is "twenty-eight trillion, four hundred twenty-five billion, four hundred sixty-four million, nine hundred thirty-nine thousand, five hundred twenty".