93828560 has 80 divisors (see below), whose sum is σ = 251341056. Its totient is φ = 31908864.

The previous prime is 93828557. The next prime is 93828563. The reversal of 93828560 is 6582839.

It is an interprime number because it is at equal distance from previous prime (93828557) and next prime (93828563).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93828563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76109 + ... + 77331.

Almost surely, 2^93828560 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 93828560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125670528).

93828560 is an abundant number, since it is smaller than the sum of its proper divisors (157512496).

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

93828560 is a wasteful number, since it uses less digits than its factorization.

93828560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 93828560 is about 9686.5143369532. The cubic root of 93828560 is about 454.4070043306.

The spelling of 93828560 in words is "ninety-three million, eight hundred twenty-eight thousand, five hundred sixty".