428723100 has 108 divisors (see below), whose sum is σ = 1447218136. Its totient is φ = 105528960.

The previous prime is 428723069. The next prime is 428723111. The reversal of 428723100 is 1327824.

428723100 is a `hidden beast` number, since 428 + 7 + 231 + 0 + 0 = 666.

It is a super-2 number, since 2×428723100² = 367606992947220000, 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 35 ways as a sum of consecutive naturals, for example, 6622 + ... + 30021.

Almost surely, 2^428723100 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 428723100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723609068).

428723100 is an abundant number, since it is smaller than the sum of its proper divisors (1018495036).

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

428723100 is a wasteful number, since it uses less digits than its factorization.

428723100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36676 (or 36666 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 428723100 is about 20705.6296692470. The cubic root of 428723100 is about 754.0363713057.

The spelling of 428723100 in words is "four hundred twenty-eight million, seven hundred twenty-three thousand, one hundred".