403776828 has 216 divisors, whose sum is σ = 1332240000. Its totient is φ = 100683648.

The previous prime is 403776827. The next prime is 403776881. The reversal of 403776828 is 828677304.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403776827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 808923 + ... + 809421.

Almost surely, 2^403776828 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 403776828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666120000).

403776828 is an abundant number, since it is smaller than the sum of its proper divisors (928463172).

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

403776828 is a wasteful number, since it uses less digits than its factorization.

403776828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 403776828 is about 20094.1988643489. The cubic root of 403776828 is about 739.1180312986.

The spelling of 403776828 in words is "four hundred three million, seven hundred seventy-six thousand, eight hundred twenty-eight".