4638083000 has 64 divisors (see below), whose sum is σ = 11058016320. Its totient is φ = 1820208000.

The previous prime is 4638082993. The next prime is 4638083003. The reversal of 4638083000 is 3808364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638083003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9245 + ... + 96755.

It is an arithmetic number, because the mean of its divisors is an integer number (172781505).

Almost surely, 2^4638083000 is an apocalyptic number.

4638083000 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 4638083000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529008160).

4638083000 is an abundant number, since it is smaller than the sum of its proper divisors (6419933320).

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

4638083000 is a wasteful number, since it uses less digits than its factorization.

4638083000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87585 (or 87571 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 4638083000 is about 68103.4727455216. The cubic root of 4638083000 is about 1667.6804543268.

The spelling of 4638083000 in words is "four billion, six hundred thirty-eight million, eighty-three thousand".