98288280 has 192 divisors, whose sum is σ = 337184640. Its totient is φ = 24800256.

The previous prime is 98288227. The next prime is 98288287. The reversal of 98288280 is 8288289.

98288280 is a `hidden beast` number, since 98 + 288 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98288287) 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, 625962 + ... + 626118.

It is an arithmetic number, because the mean of its divisors is an integer number (1756170).

Almost surely, 2^98288280 is an apocalyptic number.

98288280 is a gapful number since it is divisible by the number (90) 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 98288280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168592320).

98288280 is an abundant number, since it is smaller than the sum of its proper divisors (238896360).

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

98288280 is a wasteful number, since it uses less digits than its factorization.

98288280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 98288280 is about 9914.0445833171. The cubic root of 98288280 is about 461.4952603154.

The spelling of 98288280 in words is "ninety-eight million, two hundred eighty-eight thousand, two hundred eighty".