4033130928 has 80 divisors (see below), whose sum is σ = 10594976640. Its totient is φ = 1321740288.

The previous prime is 4033130923. The next prime is 4033130951. The reversal of 4033130928 is 8290313304.

It is a happy number.

It is a super-3 number, since 3×4033130928³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4033130923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2375776 + ... + 2377472.

It is an arithmetic number, because the mean of its divisors is an integer number (132437208).

Almost surely, 2^4033130928 is an apocalyptic number.

4033130928 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 4033130928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297488320).

4033130928 is an abundant number, since it is smaller than the sum of its proper divisors (6561845712).

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

4033130928 is a wasteful number, since it uses less digits than its factorization.

4033130928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 4033130928 is about 63506.9360621342. The cubic root of 4033130928 is about 1591.7716796712.

The spelling of 4033130928 in words is "four billion, thirty-three million, one hundred thirty thousand, nine hundred twenty-eight".