87922028880 has 960 divisors, whose sum is σ = 368250716160. Its totient is φ = 19203609600.

The previous prime is 87922028869. The next prime is 87922028881. The reversal of 87922028880 is 8882022978.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87922028881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 416691975 + ... + 416692185.

It is an arithmetic number, because the mean of its divisors is an integer number (383594496).

Almost surely, 2^87922028880 is an apocalyptic number.

87922028880 is a gapful number since it is divisible by the number (80) 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 87922028880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184125358080).

87922028880 is an abundant number, since it is smaller than the sum of its proper divisors (280328687280).

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

87922028880 is a wasteful number, since it uses less digits than its factorization.

87922028880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 87922028880 in words is "eighty-seven billion, nine hundred twenty-two million, twenty-eight thousand, eight hundred eighty".