89417013238728 has 980 divisors, whose sum is σ = 309557440851915. Its totient is φ = 24203101327776.

The previous prime is 89417013238727. The next prime is 89417013238757. The reversal of 89417013238728 is 82783231071498.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

89417013238728 is a `hidden beast` number, since 8 + 9 + 417 + 0 + 132 + 3 + 87 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44708506619364 + 44708506619364 = 6686442^2 + 6686442^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6686442.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 89417013238728 = 5586³ + 44688³ = 25137³ + 41895³.

It is not an unprimeable number, because it can be changed into a prime (89417013238727) by changing a digit.

It is a polite number, since it can be written in 244 ways as a sum of consecutive naturals, for example, 4706158591503 + ... + 4706158591521.

Almost surely, 2^{89417013238728} 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 89417013238728

89417013238728 is an abundant number, since it is smaller than the sum of its proper divisors (220140427613187).

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

89417013238728 is an frugal number, since it uses more digits than its factorization.

89417013238728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 89417013238728 in words is "eighty-nine trillion, four hundred seventeen billion, thirteen million, two hundred thirty-eight thousand, seven hundred twenty-eight".