4623828960 has 96 divisors (see below), whose sum is σ = 14598904320. Its totient is φ = 1230156288.

The previous prime is 4623828917. The next prime is 4623828967. The reversal of 4623828960 is 698283264.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4623828967) 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, 199749 + ... + 221691.

It is an arithmetic number, because the mean of its divisors is an integer number (152071920).

Almost surely, 2^4623828960 is an apocalyptic number.

4623828960 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 4623828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299452160).

4623828960 is an abundant number, since it is smaller than the sum of its proper divisors (9975075360).

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

4623828960 is a wasteful number, since it uses less digits than its factorization.

4623828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22400 (or 22392 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 4623828960 is about 67998.7423413110. The cubic root of 4623828960 is about 1665.9702953919.

The spelling of 4623828960 in words is "four billion, six hundred twenty-three million, eight hundred twenty-eight thousand, nine hundred sixty".