4205628000 has 384 divisors, whose sum is σ = 17498557440. Its totient is φ = 961113600.

The previous prime is 4205627969. The next prime is 4205628019. The reversal of 4205628000 is 8265024.

4205628000 is a `hidden beast` number, since 4 + 20 + 562 + 80 + 0 + 0 = 666.

4205628000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 753219 + ... + 758781.

It is an arithmetic number, because the mean of its divisors is an integer number (45569160).

Almost surely, 2^4205628000 is an apocalyptic number.

4205628000 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 4205628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749278720).

4205628000 is an abundant number, since it is smaller than the sum of its proper divisors (13292929440).

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

4205628000 is a wasteful number, since it uses less digits than its factorization.

4205628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4205628000 is about 64850.8134104731. The cubic root of 4205628000 is about 1614.1489891622.

The spelling of 4205628000 in words is "four billion, two hundred five million, six hundred twenty-eight thousand".