4628938752 has 200 divisors, whose sum is σ = 13956533250. Its totient is φ = 1528823808.

The previous prime is 4628938729. The next prime is 4628938753. The reversal of 4628938752 is 2578398264.

4628938752 is a `hidden beast` number, since 4 + 628 + 9 + 3 + 8 + 7 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3588489216 + 1040449536 = 59904^2 + 32256^2 .

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 (4628938753) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42467274 + ... + 42467382.

Almost surely, 2^4628938752 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 4628938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978266625).

4628938752 is an abundant number, since it is smaller than the sum of its proper divisors (9327594498).

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

4628938752 is an frugal number, since it uses more digits than its factorization.

4628938752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 114 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 4628938752 is about 68036.3046615555. The cubic root of 4628938752 is about 1666.5837572268.

The spelling of 4628938752 in words is "four billion, six hundred twenty-eight million, nine hundred thirty-eight thousand, seven hundred fifty-two".