98684628 has 72 divisors (see below), whose sum is σ = 279542592. Its totient is φ = 26966016.

The previous prime is 98684627. The next prime is 98684629. The reversal of 98684628 is 82648689.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98684627) and next prime (98684629).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98684623) 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, 9876 + ... + 17172.

It is an arithmetic number, because the mean of its divisors is an integer number (3882536).

Almost surely, 2^98684628 is an apocalyptic number.

98684628 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 98684628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139771296).

98684628 is an abundant number, since it is smaller than the sum of its proper divisors (180857964).

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

98684628 is a wasteful number, since it uses less digits than its factorization.

98684628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7341 (or 7332 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 98684628 is about 9934.0136903469. The cubic root of 98684628 is about 462.1147556993.

The spelling of 98684628 in words is "ninety-eight million, six hundred eighty-four thousand, six hundred twenty-eight".