98072448 has 64 divisors (see below), whose sum is σ = 262686720. Its totient is φ = 32417280.

The previous prime is 98072431. The next prime is 98072449. The reversal of 98072448 is 84427089.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×98072448³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98072449) 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 7 ways as a sum of consecutive naturals, for example, 47763 + ... + 49773.

It is an arithmetic number, because the mean of its divisors is an integer number (4104480).

Almost surely, 2^98072448 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 98072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131343360).

98072448 is an abundant number, since it is smaller than the sum of its proper divisors (164614272).

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

98072448 is a wasteful number, since it uses less digits than its factorization.

98072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 98072448 is about 9903.1534371633. The cubic root of 98072448 is about 461.1572124076.

The spelling of 98072448 in words is "ninety-eight million, seventy-two thousand, four hundred forty-eight".