1013828180 has 24 divisors (see below), whose sum is σ = 2137145472. Its totient is φ = 403987232.

The previous prime is 1013828177. The next prime is 1013828183. The reversal of 1013828180 is 818283101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1013828177) and next prime (1013828183).

It is a super-2 number, since 2×1013828180² = 2055695157124224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013828183) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91112 + ... + 101631.

It is an arithmetic number, because the mean of its divisors is an integer number (89047728).

Almost surely, 2^1013828180 is an apocalyptic number.

1013828180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013828180 is an abundant number, since it is smaller than the sum of its proper divisors (1123317292).

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

1013828180 is a wasteful number, since it uses less digits than its factorization.

1013828180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193015 (or 193013 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The square root of 1013828180 is about 31840.6686487580. The cubic root of 1013828180 is about 1004.5883085593.

The spelling of 1013828180 in words is "one billion, thirteen million, eight hundred twenty-eight thousand, one hundred eighty".