28419402311280 has 240 divisors, whose sum is σ = 96077779664256. Its totient is φ = 7528147361280.

The previous prime is 28419402311273. The next prime is 28419402311371. The reversal of 28419402311280 is 8211320491482.

28419402311280 is a `hidden beast` number, since 2 + 8 + 4 + 19 + 40 + 2 + 311 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79275319 + ... + 79633001.

Almost surely, 2^{28419402311280} is an apocalyptic number.

28419402311280 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 28419402311280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48038889832128).

28419402311280 is an abundant number, since it is smaller than the sum of its proper divisors (67658377352976).

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

28419402311280 is a wasteful number, since it uses less digits than its factorization.

28419402311280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358436 (or 358427 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 28419402311280 in words is "twenty-eight trillion, four hundred nineteen billion, four hundred two million, three hundred eleven thousand, two hundred eighty".