7428218112 has 324 divisors, whose sum is σ = 26232941280. Its totient is φ = 2010064896.

The previous prime is 7428218053. The next prime is 7428218117. The reversal of 7428218112 is 2118128247.

It is a happy number.

7428218112 is a `hidden beast` number, since 7 + 428 + 218 + 1 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7428218117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2143293 + ... + 2146755.

Almost surely, 2^7428218112 is an apocalyptic number.

7428218112 is a gapful number since it is divisible by the number (72) 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 7428218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13116470640).

7428218112 is an abundant number, since it is smaller than the sum of its proper divisors (18804723168).

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

7428218112 is a wasteful number, since it uses less digits than its factorization.

7428218112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3494 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 7428218112 is about 86187.1110549600. Note that the first 3 decimals coincide. The cubic root of 7428218112 is about 1951.1689779813.

The spelling of 7428218112 in words is "seven billion, four hundred twenty-eight million, two hundred eighteen thousand, one hundred twelve".