4688278272 has 288 divisors, whose sum is σ = 15109248000. Its totient is φ = 1428295680.

The previous prime is 4688278249. The next prime is 4688278277. The reversal of 4688278272 is 2728728864.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4688278277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3807897 + ... + 3809127.

Almost surely, 2^4688278272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4688278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7554624000).

4688278272 is an abundant number, since it is smaller than the sum of its proper divisors (10420969728).

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

4688278272 is a wasteful number, since it uses less digits than its factorization.

4688278272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1284 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 4688278272 is about 68471.0031473178. The cubic root of 4688278272 is about 1673.6749924658.

The spelling of 4688278272 in words is "four billion, six hundred eighty-eight million, two hundred seventy-eight thousand, two hundred seventy-two".