112401828 has 288 divisors, whose sum is σ = 387459072. Its totient is φ = 26611200.

The previous prime is 112401827. The next prime is 112401829. The reversal of 112401828 is 828104211.

It is an interprime number because it is at equal distance from previous prime (112401827) and next prime (112401829).

It is not an unprimeable number, because it can be changed into a prime (112401827) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2613975 + ... + 2614017.

It is an arithmetic number, because the mean of its divisors is an integer number (1345344).

Almost surely, 2^112401828 is an apocalyptic number.

112401828 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 112401828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193729536).

112401828 is an abundant number, since it is smaller than the sum of its proper divisors (275057244).

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

112401828 is a wasteful number, since it uses less digits than its factorization.

112401828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 112401828 is about 10601.9728352793. The cubic root of 112401828 is about 482.6042306613.

The spelling of 112401828 in words is "one hundred twelve million, four hundred one thousand, eight hundred twenty-eight".