2032021728 has 480 divisors, whose sum is σ = 7142446080. Its totient is φ = 564537600.

The previous prime is 2032021721. The next prime is 2032021741. The reversal of 2032021728 is 8271202302.

It is a happy number.

It is a super-2 number, since 2×2032021728² = 8258224606128211968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032021721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65549073 + ... + 65549103.

It is an arithmetic number, because the mean of its divisors is an integer number (14880096).

Almost surely, 2^2032021728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032021728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571223040).

2032021728 is an abundant number, since it is smaller than the sum of its proper divisors (5110424352).

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

2032021728 is a wasteful number, since it uses less digits than its factorization.

2032021728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2032021728 is about 45077.9516837223. The cubic root of 2032021728 is about 1266.6096208227.

The spelling of 2032021728 in words is "two billion, thirty-two million, twenty-one thousand, seven hundred twenty-eight".