2033728632 has 192 divisors, whose sum is σ = 6554882880. Its totient is φ = 563245056.

The previous prime is 2033728621. The next prime is 2033728633. The reversal of 2033728632 is 2368273302.

It is a happy number.

2033728632 is a `hidden beast` number, since 203 + 372 + 86 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033728633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363198 + ... + 368754.

It is an arithmetic number, because the mean of its divisors is an integer number (34140015).

Almost surely, 2^2033728632 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 2033728632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277441440).

2033728632 is an abundant number, since it is smaller than the sum of its proper divisors (4521154248).

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

2033728632 is a wasteful number, since it uses less digits than its factorization.

2033728632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5622 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2033728632 is about 45096.8805129579. The cubic root of 2033728632 is about 1266.9641734544.

The spelling of 2033728632 in words is "two billion, thirty-three million, seven hundred twenty-eight thousand, six hundred thirty-two".