4628181888 has 320 divisors, whose sum is σ = 15177697920. Its totient is φ = 1394081280.

The previous prime is 4628181839. The next prime is 4628181907. The reversal of 4628181888 is 8881818264.

4628181888 is a `hidden beast` number, since 4 + 628 + 1 + 8 + 1 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×4628181888² = 42840135176822489088, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27713581 + ... + 27713747.

It is an arithmetic number, because the mean of its divisors is an integer number (47430306).

Almost surely, 2^4628181888 is an apocalyptic number.

4628181888 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 4628181888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588848960).

4628181888 is an abundant number, since it is smaller than the sum of its proper divisors (10549516032).

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

4628181888 is an frugal number, since it uses more digits than its factorization.

4628181888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 183 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 54.

The square root of 4628181888 is about 68030.7422273196. The cubic root of 4628181888 is about 1666.4929195589.

The spelling of 4628181888 in words is "four billion, six hundred twenty-eight million, one hundred eighty-one thousand, eight hundred eighty-eight".