428777064 has 80 divisors (see below), whose sum is σ = 1242440100. Its totient is φ = 137991168.

The previous prime is 428777059. The next prime is 428777101. The reversal of 428777064 is 460777824.

It can be written as a sum of positive squares in 2 ways, for example, as 370254564 + 58522500 = 19242^2 + 7650^2 .

It is a super-2 number, since 2×428777064² = 367699541224920192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7384 + ... + 30200.

Almost surely, 2^428777064 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 428777064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621220050).

428777064 is an abundant number, since it is smaller than the sum of its proper divisors (813663036).

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

428777064 is a wasteful number, since it uses less digits than its factorization.

428777064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22864 (or 22851 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 428777064 is about 20706.9327521002. The cubic root of 428777064 is about 754.0680071965.

The spelling of 428777064 in words is "four hundred twenty-eight million, seven hundred seventy-seven thousand, sixty-four".