1193628480 has 448 divisors, whose sum is σ = 4490069760. Its totient is φ = 265420800.

The previous prime is 1193628479. The next prime is 1193628481. The reversal of 1193628480 is 848263911.

It is an interprime number because it is at equal distance from previous prime (1193628479) and next prime (1193628481).

It is a super-2 number, since 2×1193628480² = 2849497896534220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1193628481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10950666 + ... + 10950774.

Almost surely, 2^1193628480 is an apocalyptic number.

1193628480 is a gapful number since it is divisible by the number (10) 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 1193628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245034880).

1193628480 is an abundant number, since it is smaller than the sum of its proper divisors (3296441280).

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

1193628480 is a wasteful number, since it uses less digits than its factorization.

1193628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1193628480 is about 34548.9287822358. The cubic root of 1193628480 is about 1060.7744666477.

The spelling of 1193628480 in words is "one billion, one hundred ninety-three million, six hundred twenty-eight thousand, four hundred eighty".