4231801728 has 288 divisors, whose sum is σ = 15300820080. Its totient is φ = 1098915840.

The previous prime is 4231801669. The next prime is 4231801747. The reversal of 4231801728 is 8271081324.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 4231801692 and 4231801701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 973576 + ... + 977912.

Almost surely, 2^4231801728 is an apocalyptic number.

4231801728 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 4231801728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650410040).

4231801728 is an abundant number, since it is smaller than the sum of its proper divisors (11069018352).

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

4231801728 is a wasteful number, since it uses less digits than its factorization.

4231801728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4231801728 is about 65052.2999439682. The cubic root of 4231801728 is about 1617.4906188605.

It can be divided in two parts, 423 and 1801728, that added together give a triangular number (1802151 = T₁₈₉₈).

The spelling of 4231801728 in words is "four billion, two hundred thirty-one million, eight hundred one thousand, seven hundred twenty-eight".