63728405 has 16 divisors (see below), whose sum is σ = 85016064. Its totient is φ = 45541440.

The previous prime is 63728387. The next prime is 63728411. The reversal of 63728405 is 50482736.

It is a happy number.

It is not a de Polignac number, because 63728405 - 2¹⁶ = 63662869 is a prime.

It is a super-2 number, since 2×63728405² = 8122619207688050, which contains 22 as substring.

It is a Duffinian number.

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, 13799 + ... + 17828.

It is an arithmetic number, because the mean of its divisors is an integer number (5313504).

Almost surely, 2^63728405 is an apocalyptic number.

63728405 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

63728405 is a deficient number, since it is larger than the sum of its proper divisors (21287659).

63728405 is a wasteful number, since it uses less digits than its factorization.

63728405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31676.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 63728405 is about 7983.0072654358. The cubic root of 63728405 is about 399.4333748021.

The spelling of 63728405 in words is "sixty-three million, seven hundred twenty-eight thousand, four hundred five".