988249248 has 360 divisors, whose sum is σ = 3503896704. Its totient is φ = 272160000.

The previous prime is 988249237. The next prime is 988249369. The reversal of 988249248 is 842942889.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 988249194 and 988249203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3937123 + ... + 3937373.

Almost surely, 2^988249248 is an apocalyptic number.

988249248 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 988249248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751948352).

988249248 is an abundant number, since it is smaller than the sum of its proper divisors (2515647456).

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

988249248 is a wasteful number, since it uses less digits than its factorization.

988249248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 294 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 988249248 is about 31436.4318585936. The cubic root of 988249248 is about 996.0676394767.

The spelling of 988249248 in words is "nine hundred eighty-eight million, two hundred forty-nine thousand, two hundred forty-eight".