58402681728 has 128 divisors (see below), whose sum is σ = 157645716480. Its totient is φ = 19153465344.

The previous prime is 58402681693. The next prime is 58402681747. The reversal of 58402681728 is 82718620485.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12415825 + ... + 12420527.

It is an arithmetic number, because the mean of its divisors is an integer number (1231607160).

Almost surely, 2^58402681728 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 58402681728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78822858240).

58402681728 is an abundant number, since it is smaller than the sum of its proper divisors (99243034752).

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

58402681728 is a wasteful number, since it uses less digits than its factorization.

58402681728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5236 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 58402681728 in words is "fifty-eight billion, four hundred two million, six hundred eighty-one thousand, seven hundred twenty-eight".