98144928 has 144 divisors (see below), whose sum is σ = 323144640. Its totient is φ = 27675648.

The previous prime is 98144911. The next prime is 98144929. The reversal of 98144928 is 82944189.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (165888) is a multiple of the sum of its prime divisors (648).

It is not an unprimeable number, because it can be changed into a prime (98144929) 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, 179151 + ... + 179697.

It is an arithmetic number, because the mean of its divisors is an integer number (2244060).

Almost surely, 2^98144928 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 98144928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161572320).

98144928 is an abundant number, since it is smaller than the sum of its proper divisors (224999712).

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

98144928 is a wasteful number, since it uses less digits than its factorization.

98144928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 648 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 98144928 is about 9906.8122017125. The cubic root of 98144928 is about 461.2707898180.

The spelling of 98144928 in words is "ninety-eight million, one hundred forty-four thousand, nine hundred twenty-eight".