4058026728 has 192 divisors, whose sum is σ = 12276979200. Its totient is φ = 1113315840.

The previous prime is 4058026663. The next prime is 4058026741. The reversal of 4058026728 is 8276208504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4058026728.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5723238 + ... + 5723946.

It is an arithmetic number, because the mean of its divisors is an integer number (63942600).

Almost surely, 2^4058026728 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 4058026728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138489600).

4058026728 is an abundant number, since it is smaller than the sum of its proper divisors (8218952472).

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

4058026728 is a wasteful number, since it uses less digits than its factorization.

4058026728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 4058026728 is about 63702.6430220913. The cubic root of 4058026728 is about 1595.0402046973.

The spelling of 4058026728 in words is "four billion, fifty-eight million, twenty-six thousand, seven hundred twenty-eight".