28420784853888 has 128 divisors (see below), whose sum is σ = 86288739264000. Its totient is φ = 8119155382272.

The previous prime is 28420784853833. The next prime is 28420784853893. The reversal of 28420784853888 is 88835848702482.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19841578 + ... + 21225686.

It is an arithmetic number, because the mean of its divisors is an integer number (674130775500).

Almost surely, 2^{28420784853888} is an apocalyptic number.

28420784853888 is a gapful number since it is divisible by the number (28) 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 28420784853888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43144369632000).

28420784853888 is an abundant number, since it is smaller than the sum of its proper divisors (57867954410112).

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

28420784853888 is a wasteful number, since it uses less digits than its factorization.

28420784853888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391772 (or 1391760 counting only the distinct ones).

The product of its (nonzero) digits is 1761607680, while the sum is 75.

The spelling of 28420784853888 in words is "twenty-eight trillion, four hundred twenty billion, seven hundred eighty-four million, eight hundred fifty-three thousand, eight hundred eighty-eight".