13828820148 has 192 divisors, whose sum is σ = 42209744640. Its totient is φ = 3860006400.

The previous prime is 13828820147. The next prime is 13828820183. The reversal of 13828820148 is 84102882831.

It is a happy number.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828820147) 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, 13543878 + ... + 13544898.

It is an arithmetic number, because the mean of its divisors is an integer number (219842420).

Almost surely, 2^13828820148 is an apocalyptic number.

13828820148 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 13828820148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21104872320).

13828820148 is an abundant number, since it is smaller than the sum of its proper divisors (28380924492).

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

13828820148 is a wasteful number, since it uses less digits than its factorization.

13828820148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 13828820148 in words is "thirteen billion, eight hundred twenty-eight million, eight hundred twenty thousand, one hundred forty-eight".