93428640 has 216 divisors, whose sum is σ = 334790820. Its totient is φ = 24634368.

The previous prime is 93428609. The next prime is 93428641. The reversal of 93428640 is 4682439.

It is a happy number.

93428640 is a `hidden beast` number, since 9 + 3 + 4 + 2 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88284816 + 5143824 = 9396^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 93428595 and 93428604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93428641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049716 + ... + 1049804.

Almost surely, 2^93428640 is an apocalyptic number.

93428640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93428640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167395410).

93428640 is an abundant number, since it is smaller than the sum of its proper divisors (241362180).

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

93428640 is an frugal number, since it uses more digits than its factorization.

93428640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 93428640 is about 9665.8491608342. The cubic root of 93428640 is about 453.7604874292.

The spelling of 93428640 in words is "ninety-three million, four hundred twenty-eight thousand, six hundred forty".