28538427952320 has 448 divisors, whose sum is σ = 106467089250816. Its totient is φ = 6385216389120.

The previous prime is 28538427952271. The next prime is 28538427952327. The reversal of 28538427952320 is 2325972483582.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (28538427952327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1184302512 + ... + 1184326608.

It is an arithmetic number, because the mean of its divisors is an integer number (237649752792).

Almost surely, 2^{28538427952320} is an apocalyptic number.

28538427952320 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 28538427952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53233544625408).

28538427952320 is an abundant number, since it is smaller than the sum of its proper divisors (77928661298496).

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

28538427952320 is a wasteful number, since it uses less digits than its factorization.

28538427952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32768 (or 32758 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 28538427952320 in words is "twenty-eight trillion, five hundred thirty-eight billion, four hundred twenty-seven million, nine hundred fifty-two thousand, three hundred twenty".