13828893120 has 672 divisors, whose sum is σ = 58072934400. Its totient is φ = 2950152192.

The previous prime is 13828893077. The next prime is 13828893131. The reversal of 13828893120 is 2139882831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30259932 + ... + 30260388.

Almost surely, 2^13828893120 is an apocalyptic number.

13828893120 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 13828893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29036467200).

13828893120 is an abundant number, since it is smaller than the sum of its proper divisors (44244041280).

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

13828893120 is a wasteful number, since it uses less digits than its factorization.

13828893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 13828893120 in words is "thirteen billion, eight hundred twenty-eight million, eight hundred ninety-three thousand, one hundred twenty".