28125980421000 has 3072 divisors, whose sum is σ = 122988566937600. Its totient is φ = 5178816000000.

The previous prime is 28125980420999. The next prime is 28125980421023. The reversal of 28125980421000 is 12408952182.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 186264770925 + ... + 186264771075.

It is an arithmetic number, because the mean of its divisors is an integer number (40035340800).

Almost surely, 2^{28125980421000} is an apocalyptic number.

28125980421000 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 28125980421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61494283468800).

28125980421000 is an abundant number, since it is smaller than the sum of its proper divisors (94862586516600).

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

28125980421000 is a wasteful number, since it uses less digits than its factorization.

28125980421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 28125980421000 in words is "twenty-eight trillion, one hundred twenty-five billion, nine hundred eighty million, four hundred twenty-one thousand".