87128233920 has 1008 divisors, whose sum is σ = 375901793280. Its totient is φ = 18135097344.

The previous prime is 87128233919. The next prime is 87128233939. The reversal of 87128233920 is 2933282178.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 364553161 + ... + 364553399.

Almost surely, 2^87128233920 is an apocalyptic number.

87128233920 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 87128233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187950896640).

87128233920 is an abundant number, since it is smaller than the sum of its proper divisors (288773559360).

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

87128233920 is a wasteful number, since it uses less digits than its factorization.

87128233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 87128233920 in words is "eighty-seven billion, one hundred twenty-eight million, two hundred thirty-three thousand, nine hundred twenty".