4028129280 has 504 divisors, whose sum is σ = 16315895232. Its totient is φ = 916586496.

The previous prime is 4028129251. The next prime is 4028129299. The reversal of 4028129280 is 829218204.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18063249 + ... + 18063471.

It is an arithmetic number, because the mean of its divisors is an integer number (32372808).

Almost surely, 2^4028129280 is an apocalyptic number.

4028129280 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 4028129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157947616).

4028129280 is an abundant number, since it is smaller than the sum of its proper divisors (12287765952).

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

4028129280 is a wasteful number, since it uses less digits than its factorization.

4028129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4028129280 is about 63467.5450919602. The cubic root of 4028129280 is about 1591.1134007668.

The spelling of 4028129280 in words is "four billion, twenty-eight million, one hundred twenty-nine thousand, two hundred eighty".