4200427728 has 180 divisors, whose sum is σ = 14272454560. Its totient is φ = 1129448448.

The previous prime is 4200427697. The next prime is 4200427733. The reversal of 4200427728 is 8277240024.

4200427728 is a `hidden beast` number, since 4 + 200 + 427 + 7 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4200427692 and 4200427701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284103 + ... + 298521.

Almost surely, 2^4200427728 is an apocalyptic number.

4200427728 is a gapful number since it is divisible by the number (48) 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 4200427728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136227280).

4200427728 is an abundant number, since it is smaller than the sum of its proper divisors (10072026832).

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

4200427728 is a wasteful number, since it uses less digits than its factorization.

4200427728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14474 (or 14448 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 4200427728 is about 64810.7068932287. The cubic root of 4200427728 is about 1613.4834146898.

The spelling of 4200427728 in words is "four billion, two hundred million, four hundred twenty-seven thousand, seven hundred twenty-eight".