1153028604 has 288 divisors, whose sum is σ = 3764517120. Its totient is φ = 270563328.

The previous prime is 1153028593. The next prime is 1153028627. The reversal of 1153028604 is 4068203511.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2468779 + ... + 2469245.

It is an arithmetic number, because the mean of its divisors is an integer number (13071240).

Almost surely, 2^1153028604 is an apocalyptic number.

1153028604 is a gapful number since it is divisible by the number (14) 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 1153028604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882258560).

1153028604 is an abundant number, since it is smaller than the sum of its proper divisors (2611488516).

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

1153028604 is a wasteful number, since it uses less digits than its factorization.

1153028604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1153028604 is about 33956.2748840328. The cubic root of 1153028604 is about 1048.6084677715.

The spelling of 1153028604 in words is "one billion, one hundred fifty-three million, twenty-eight thousand, six hundred four".