4028766390 has 192 divisors, whose sum is σ = 11914076160. Its totient is φ = 967982400.

The previous prime is 4028766389. The next prime is 4028766451. The reversal of 4028766390 is 936678204.

4028766390 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 7 + 6 + 639 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4148605 + ... + 4149575.

It is an arithmetic number, because the mean of its divisors is an integer number (62052480).

Almost surely, 2^4028766390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4028766390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957038080).

4028766390 is an abundant number, since it is smaller than the sum of its proper divisors (7885309770).

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

4028766390 is a wasteful number, since it uses less digits than its factorization.

4028766390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4028766390 is about 63472.5640729914. The cubic root of 4028766390 is about 1591.1972826177.

The spelling of 4028766390 in words is "four billion, twenty-eight million, seven hundred sixty-six thousand, three hundred ninety".