98629248 has 64 divisors (see below), whose sum is σ = 263037600. Its totient is φ = 32744448.

The previous prime is 98629217. The next prime is 98629249. The reversal of 98629248 is 84292689.

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

It is a super-2 number, since 2×98629248² = 19455457122091008, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 98629197 and 98629206.

It is not an unprimeable number, because it can be changed into a prime (98629249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160590 + ... + 161202.

Almost surely, 2^98629248 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 98629248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131518800).

98629248 is an abundant number, since it is smaller than the sum of its proper divisors (164408352).

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

98629248 is a wasteful number, since it uses less digits than its factorization.

98629248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1037 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 98629248 is about 9931.2259062011. The cubic root of 98629248 is about 462.0282960874.

It can be divided in two parts, 9862 and 9248, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 98629248 in words is "ninety-eight million, six hundred twenty-nine thousand, two hundred forty-eight".