98464128 has 96 divisors (see below), whose sum is σ = 304304760. Its totient is φ = 28127232.

The previous prime is 98464123. The next prime is 98464139. The reversal of 98464128 is 82146489.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 98464128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98464123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16200 + ... + 21432.

Almost surely, 2^98464128 is an apocalyptic number.

98464128 is a gapful number since it is divisible by the number (98) 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 98464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152152380).

98464128 is an abundant number, since it is smaller than the sum of its proper divisors (205840632).

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

98464128 is a wasteful number, since it uses less digits than its factorization.

98464128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5245 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 98464128 is about 9922.9092508195. The cubic root of 98464128 is about 461.7703174212.

The spelling of 98464128 in words is "ninety-eight million, four hundred sixty-four thousand, one hundred twenty-eight".