1193408928 has 144 divisors (see below), whose sum is σ = 3593509920. Its totient is φ = 375040512.

The previous prime is 1193408927. The next prime is 1193408947. The reversal of 1193408928 is 8298043911.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1193408927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357475 + ... + 360797.

It is an arithmetic number, because the mean of its divisors is an integer number (24954930).

Almost surely, 2^1193408928 is an apocalyptic number.

1193408928 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 1193408928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796754960).

1193408928 is an abundant number, since it is smaller than the sum of its proper divisors (2400100992).

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

1193408928 is a wasteful number, since it uses less digits than its factorization.

1193408928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1193408928 is about 34545.7512293480. The cubic root of 1193408928 is about 1060.7094242328.

The spelling of 1193408928 in words is "one billion, one hundred ninety-three million, four hundred eight thousand, nine hundred twenty-eight".