4952128272 has 320 divisors, whose sum is σ = 16212295680. Its totient is φ = 1268047872.

The previous prime is 4952128267. The next prime is 4952128283. The reversal of 4952128272 is 2728212594.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38993073 + ... + 38993199.

It is an arithmetic number, because the mean of its divisors is an integer number (50663424).

Almost surely, 2^4952128272 is an apocalyptic number.

4952128272 is a gapful number since it is divisible by the number (42) 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 4952128272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8106147840).

4952128272 is an abundant number, since it is smaller than the sum of its proper divisors (11260167408).

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

4952128272 is a wasteful number, since it uses less digits than its factorization.

4952128272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 4952128272 is about 70371.3597424407. The cubic root of 4952128272 is about 1704.5011365205.

The spelling of 4952128272 in words is "four billion, nine hundred fifty-two million, one hundred twenty-eight thousand, two hundred seventy-two".