98833728 has 112 divisors (see below), whose sum is σ = 301451264. Its totient is φ = 27993600.

The previous prime is 98833727. The next prime is 98833729. The reversal of 98833728 is 82733889.

It is an interprime number because it is at equal distance from previous prime (98833727) and next prime (98833729).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98833727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202701 + ... + 203187.

Almost surely, 2^98833728 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 98833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150725632).

98833728 is an abundant number, since it is smaller than the sum of its proper divisors (202617536).

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

98833728 is a wasteful number, since it uses less digits than its factorization.

98833728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 650 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 98833728 is about 9941.5153774462. The cubic root of 98833728 is about 462.3473709173.

It can be divided in two parts, 988 and 33728, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 98833728 in words is "ninety-eight million, eight hundred thirty-three thousand, seven hundred twenty-eight".