87636476928 has 352 divisors, whose sum is σ = 313633152000. Its totient is φ = 21011005440.

The previous prime is 87636476923. The next prime is 87636476969. The reversal of 87636476928 is 82967463678.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (87636476923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3060823 + ... + 3089321.

Almost surely, 2^87636476928 is an apocalyptic number.

87636476928 is a gapful number since it is divisible by the number (88) 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 87636476928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156816576000).

87636476928 is an abundant number, since it is smaller than the sum of its proper divisors (225996675072).

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

87636476928 is a wasteful number, since it uses less digits than its factorization.

87636476928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28553 (or 28535 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 66.

The spelling of 87636476928 in words is "eighty-seven billion, six hundred thirty-six million, four hundred seventy-six thousand, nine hundred twenty-eight".