28364286430080 has 384 divisors, whose sum is σ = 101998160409600. Its totient is φ = 7532152104960.

The previous prime is 28364286430057. The next prime is 28364286430157. The reversal of 28364286430080 is 8003468246382.

28364286430080 is a `hidden beast` number, since 2 + 83 + 6 + 428 + 64 + 3 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28364286429999 and 28364286430026.

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, 36787725 + ... + 37550835.

It is an arithmetic number, because the mean of its divisors is an integer number (265620209400).

Almost surely, 2^{28364286430080} is an apocalyptic number.

28364286430080 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 28364286430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50999080204800).

28364286430080 is an abundant number, since it is smaller than the sum of its proper divisors (73633873979520).

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

28364286430080 is an equidigital number, since it uses as much as digits as its factorization.

28364286430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763384 (or 763360 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 28364286430080 in words is "twenty-eight trillion, three hundred sixty-four billion, two hundred eighty-six million, four hundred thirty thousand, eighty".