93828480 has 64 divisors (see below), whose sum is σ = 299084400. Its totient is φ = 25020416.

The previous prime is 93828473. The next prime is 93828481. The reversal of 93828480 is 8482839.

93828480 = T₁₈₉ + T₁₉₀ + ... + T₈₂₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×93828480² = 17607567318220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93828481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22515 + ... + 26354.

Almost surely, 2^93828480 is an apocalyptic number.

It is an amenable number.

93828480 is an abundant number, since it is smaller than the sum of its proper divisors (205255920).

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

93828480 is a wasteful number, since it uses less digits than its factorization.

93828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48891 (or 48879 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 93828480 is about 9686.5102074999. The cubic root of 93828480 is about 454.4068751853.

The spelling of 93828480 in words is "ninety-three million, eight hundred twenty-eight thousand, four hundred eighty".