93728752 has 60 divisors (see below), whose sum is σ = 208312560. Its totient is φ = 40694784.

The previous prime is 93728743. The next prime is 93728753. The reversal of 93728752 is 25782739.

It is a junction number, because it is equal to n+sod(n) for n = 93728699 and 93728708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93728753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44949 + ... + 46987.

It is an arithmetic number, because the mean of its divisors is an integer number (3471876).

Almost surely, 2^93728752 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 93728752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104156280).

93728752 is an abundant number, since it is smaller than the sum of its proper divisors (114583808).

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

93728752 is a wasteful number, since it uses less digits than its factorization.

93728752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2071 counting only the distinct ones).

The product of its digits is 211680, while the sum is 43.

The square root of 93728752 is about 9681.3610613384. The cubic root of 93728752 is about 454.2458254563.

It can be divided in two parts, 9 and 3728752, that added together give a square (3728761 = 1931²).

The spelling of 93728752 in words is "ninety-three million, seven hundred twenty-eight thousand, seven hundred fifty-two".