52438267728 has 640 divisors, whose sum is σ = 203027005440. Its totient is φ = 12540026880.

The previous prime is 52438267727. The next prime is 52438267729. The reversal of 52438267728 is 82776283425.

52438267728 is a `hidden beast` number, since 524 + 3 + 8 + 26 + 77 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (52438267727) and next prime (52438267729).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52438267727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26576950 + ... + 26578922.

It is an arithmetic number, because the mean of its divisors is an integer number (317229696).

Almost surely, 2^52438267728 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 52438267728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101513502720).

52438267728 is an abundant number, since it is smaller than the sum of its proper divisors (150588737712).

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

52438267728 is a wasteful number, since it uses less digits than its factorization.

52438267728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2060 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 52438267728 in words is "fifty-two billion, four hundred thirty-eight million, two hundred sixty-seven thousand, seven hundred twenty-eight".