28190776320 has 1056 divisors, whose sum is σ = 121673155968. Its totient is φ = 5888802816.

The previous prime is 28190776283. The next prime is 28190776357. The reversal of 28190776320 is 2367709182.

28190776320 is a `hidden beast` number, since 2 + 8 + 1 + 9 + 0 + 7 + 7 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28190776283) and next prime (28190776357).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290626512 + ... + 290626608.

Almost surely, 2^28190776320 is an apocalyptic number.

28190776320 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 28190776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60836577984).

28190776320 is an abundant number, since it is smaller than the sum of its proper divisors (93482379648).

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

28190776320 is a wasteful number, since it uses less digits than its factorization.

28190776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 28190776320 in words is "twenty-eight billion, one hundred ninety million, seven hundred seventy-six thousand, three hundred twenty".