87429888 has 288 divisors, whose sum is σ = 320499200. Its totient is φ = 22892544.

The previous prime is 87429871. The next prime is 87429893. The reversal of 87429888 is 88892478.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628923 + ... + 629061.

Almost surely, 2^87429888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87429888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160249600).

87429888 is an abundant number, since it is smaller than the sum of its proper divisors (233069312).

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

87429888 is a wasteful number, since it uses less digits than its factorization.

87429888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

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

The square root of 87429888 is about 9350.3950718673. The cubic root of 87429888 is about 443.8333925664.

The spelling of 87429888 in words is "eighty-seven million, four hundred twenty-nine thousand, eight hundred eighty-eight".