4188628272 has 20 divisors (see below), whose sum is σ = 10820623160. Its totient is φ = 1396209408.

The previous prime is 4188628259. The next prime is 4188628331. The reversal of 4188628272 is 2728268814.

4188628272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 87263089 = 4188628272 / (4 + 1 + 8 + 8 + 6 + 2 + 8 + 2 + 7 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43631497 + ... + 43631592.

It is an arithmetic number, because the mean of its divisors is an integer number (541031158).

Almost surely, 2^4188628272 is an apocalyptic number.

It is an amenable number.

4188628272 is an abundant number, since it is smaller than the sum of its proper divisors (6631994888).

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

4188628272 is a wasteful number, since it uses less digits than its factorization.

4188628272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87263100 (or 87263094 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 4188628272 is about 64719.6127306089. The cubic root of 4188628272 is about 1611.9711812953.

The spelling of 4188628272 in words is "four billion, one hundred eighty-eight million, six hundred twenty-eight thousand, two hundred seventy-two".