63828006 has 64 divisors (see below), whose sum is σ = 144446976. Its totient is φ = 18636800.

The previous prime is 63827987. The next prime is 63828031. The reversal of 63828006 is 60082836.

63828006 = 1314² + 1315² + ... + 1349².

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248230 + ... + 248486.

It is an arithmetic number, because the mean of its divisors is an integer number (2256984).

Almost surely, 2^63828006 is an apocalyptic number.

63828006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 63828006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72223488).

63828006 is an abundant number, since it is smaller than the sum of its proper divisors (80618970).

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

63828006 is a wasteful number, since it uses less digits than its factorization.

63828006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 63828006 is about 7989.2431431269. The cubic root of 63828006 is about 399.6413577020.

The spelling of 63828006 in words is "sixty-three million, eight hundred twenty-eight thousand, six".