1138193280 has 192 divisors, whose sum is σ = 4491957600. Its totient is φ = 260149248.

The previous prime is 1138193279. The next prime is 1138193281. The reversal of 1138193280 is 823918311.

It is an interprime number because it is at equal distance from previous prime (1138193279) and next prime (1138193281).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1138193280³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138193281) 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, 26206 + ... + 54434.

Almost surely, 2^1138193280 is an apocalyptic number.

1138193280 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 1138193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245978800).

1138193280 is an abundant number, since it is smaller than the sum of its proper divisors (3353764320).

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

1138193280 is a wasteful number, since it uses less digits than its factorization.

1138193280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28261 (or 28246 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1138193280 is about 33737.1202090516. The cubic root of 1138193280 is about 1044.0917697989.

The spelling of 1138193280 in words is "one billion, one hundred thirty-eight million, one hundred ninety-three thousand, two hundred eighty".