87428736 has 96 divisors (see below), whose sum is σ = 260360100. Its totient is φ = 28127232.

The previous prime is 87428729. The next prime is 87428741. The reversal of 87428736 is 63782478.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 78428736 + 9000000 = 8856^2 + 3000^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 87428691 and 87428700.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32100 + ... + 34716.

Almost surely, 2^87428736 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 87428736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130180050).

87428736 is an abundant number, since it is smaller than the sum of its proper divisors (172931364).

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

87428736 is a wasteful number, since it uses less digits than its factorization.

87428736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2651 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 87428736 is about 9350.3334699892. Note that the first 3 decimals coincide. The cubic root of 87428736 is about 443.8314432013.

The spelling of 87428736 in words is "eighty-seven million, four hundred twenty-eight thousand, seven hundred thirty-six".