1098761328 has 160 divisors (see below), whose sum is σ = 3634053120. Its totient is φ = 311351040.

The previous prime is 1098761291. The next prime is 1098761329. The reversal of 1098761328 is 8231678901.

1098761328 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 7 + 613 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098761329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382618 + ... + 385478.

It is an arithmetic number, because the mean of its divisors is an integer number (22712832).

Almost surely, 2^1098761328 is an apocalyptic number.

1098761328 is a gapful number since it is divisible by the number (18) 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 1098761328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817026560).

1098761328 is an abundant number, since it is smaller than the sum of its proper divisors (2535291792).

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

1098761328 is a wasteful number, since it uses less digits than its factorization.

1098761328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1098761328 is about 33147.5689606342. The cubic root of 1098761328 is about 1031.8924982667.

The spelling of 1098761328 in words is "one billion, ninety-eight million, seven hundred sixty-one thousand, three hundred twenty-eight".