4133420928 has 480 divisors, whose sum is σ = 15268041360. Its totient is φ = 1086898176.

The previous prime is 4133420927. The next prime is 4133420933. The reversal of 4133420928 is 8290243314.

4133420928 is a `hidden beast` number, since 413 + 34 + 209 + 2 + 8 = 666.

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 = 4133420892 and 4133420901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133420927) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12265176 + ... + 12265512.

Almost surely, 2^4133420928 is an apocalyptic number.

4133420928 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 4133420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634020680).

4133420928 is an abundant number, since it is smaller than the sum of its proper divisors (11134620432).

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

4133420928 is a wasteful number, since it uses less digits than its factorization.

4133420928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4133420928 is about 64291.6863054625. The cubic root of 4133420928 is about 1604.8577531371.

The spelling of 4133420928 in words is "four billion, one hundred thirty-three million, four hundred twenty thousand, nine hundred twenty-eight".