4917900288 has 264 divisors, whose sum is σ = 15677923872. Its totient is φ = 1365590016.

The previous prime is 4917900257. The next prime is 4917900289. The reversal of 4917900288 is 8820097194.

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 (4917900289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5569095 + ... + 5569977.

Almost surely, 2^4917900288 is an apocalyptic number.

4917900288 is a gapful number since it is divisible by the number (48) 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 4917900288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838961936).

4917900288 is an abundant number, since it is smaller than the sum of its proper divisors (10760023584).

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

4917900288 is a wasteful number, since it uses less digits than its factorization.

4917900288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 4917900288 is about 70127.7426415538. The cubic root of 4917900288 is about 1700.5650126527.

The spelling of 4917900288 in words is "four billion, nine hundred seventeen million, nine hundred thousand, two hundred eighty-eight".