4028133120 has 288 divisors, whose sum is σ = 14340049920. Its totient is φ = 955269120.

The previous prime is 4028133113. The next prime is 4028133121. The reversal of 4028133120 is 213318204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4028133121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1984266 + ... + 1986294.

It is an arithmetic number, because the mean of its divisors is an integer number (49791840).

Almost surely, 2^4028133120 is an apocalyptic number.

4028133120 is a gapful number since it is divisible by the number (40) 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 4028133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7170024960).

4028133120 is an abundant number, since it is smaller than the sum of its proper divisors (10311916800).

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

4028133120 is a wasteful number, since it uses less digits than its factorization.

4028133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4028133120 is about 63467.5753436351. The cubic root of 4028133120 is about 1591.1139063674.

The spelling of 4028133120 in words is "four billion, twenty-eight million, one hundred thirty-three thousand, one hundred twenty".