4428846000 has 240 divisors, whose sum is σ = 15969477888. Its totient is φ = 1142784000.

The previous prime is 4428845989. The next prime is 4428846043. The reversal of 4428846000 is 6488244.

4428846000 is a `hidden beast` number, since 4 + 42 + 8 + 8 + 4 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4428846000² = 39229353783432000000, which contains 22 as substring.

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

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, 554032 + ... + 561968.

Almost surely, 2^4428846000 is an apocalyptic number.

4428846000 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 4428846000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984738944).

4428846000 is an abundant number, since it is smaller than the sum of its proper divisors (11540631888).

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

4428846000 is a wasteful number, since it uses less digits than its factorization.

4428846000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7997 (or 7978 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4428846000 is about 66549.5755057837. The cubic root of 4428846000 is about 1642.2156746714.

The spelling of 4428846000 in words is "four billion, four hundred twenty-eight million, eight hundred forty-six thousand".