87280128 has 240 divisors, whose sum is σ = 285981696. Its totient is φ = 25436160.

The previous prime is 87280121. The next prime is 87280133. The reversal of 87280128 is 82108278.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87280092 and 87280101.

It is not an unprimeable number, because it can be changed into a prime (87280121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1857001 + ... + 1857047.

Almost surely, 2^87280128 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 87280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142990848).

87280128 is an abundant number, since it is smaller than the sum of its proper divisors (198701568).

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

87280128 is a wasteful number, since it uses less digits than its factorization.

87280128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 87280128 is about 9342.3834218041. The cubic root of 87280128 is about 443.5798313866.

The spelling of 87280128 in words is "eighty-seven million, two hundred eighty thousand, one hundred twenty-eight".