87358128 has 180 divisors, whose sum is σ = 271623240. Its totient is φ = 24161280.

The previous prime is 87358109. The next prime is 87358133. The reversal of 87358128 is 82185378.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 87358128.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 981508 + ... + 981596.

It is an arithmetic number, because the mean of its divisors is an integer number (1509018).

Almost surely, 2^87358128 is an apocalyptic number.

87358128 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 87358128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135811620).

87358128 is an abundant number, since it is smaller than the sum of its proper divisors (184265112).

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

87358128 is a wasteful number, since it uses less digits than its factorization.

87358128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 118 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 87358128 is about 9346.5570131466. The cubic root of 87358128 is about 443.7119306626.

The spelling of 87358128 in words is "eighty-seven million, three hundred fifty-eight thousand, one hundred twenty-eight".