98382900 has 144 divisors (see below), whose sum is σ = 354977280. Its totient is φ = 20438400.

The previous prime is 98382899. The next prime is 98382901. The reversal of 98382900 is 928389.

It is an interprime number because it is at equal distance from previous prime (98382899) and next prime (98382901).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98382901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20971 + ... + 25229.

It is an arithmetic number, because the mean of its divisors is an integer number (2465120).

Almost surely, 2^98382900 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 98382900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177488640).

98382900 is an abundant number, since it is smaller than the sum of its proper divisors (256594380).

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

98382900 is a wasteful number, since it uses less digits than its factorization.

98382900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 98382900 is about 9918.8154534702. The cubic root of 98382900 is about 461.6433033194.

The spelling of 98382900 in words is "ninety-eight million, three hundred eighty-two thousand, nine hundred".