87101028 has 144 divisors (see below), whose sum is σ = 266851200. Its totient is φ = 24494400.

The previous prime is 87101017. The next prime is 87101029. The reversal of 87101028 is 82010178.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 87100992 and 87101010.

It is not an unprimeable number, because it can be changed into a prime (87101029) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 576753 + ... + 576903.

Almost surely, 2^87101028 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 87101028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133425600).

87101028 is an abundant number, since it is smaller than the sum of its proper divisors (179750172).

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

87101028 is a wasteful number, since it uses less digits than its factorization.

87101028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 87101028 is about 9332.7931510347. The cubic root of 87101028 is about 443.2762130163.

The spelling of 87101028 in words is "eighty-seven million, one hundred one thousand, twenty-eight".