4028618880 has 768 divisors, whose sum is σ = 16814528640. Its totient is φ = 875888640.

The previous prime is 4028618879. The next prime is 4028618899. The reversal of 4028618880 is 888168204.

It is a happy number.

4028618880 is a `hidden beast` number, since 4 + 0 + 28 + 618 + 8 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55186524 + ... + 55186596.

Almost surely, 2^4028618880 is an apocalyptic number.

4028618880 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 4028618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8407264320).

4028618880 is an abundant number, since it is smaller than the sum of its proper divisors (12785909760).

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

4028618880 is a wasteful number, since it uses less digits than its factorization.

4028618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 4028618880 is about 63471.4020642368. The cubic root of 4028618880 is about 1591.1778622498.

The spelling of 4028618880 in words is "four billion, twenty-eight million, six hundred eighteen thousand, eight hundred eighty".