428006900 has 36 divisors (see below), whose sum is σ = 934002720. Its totient is φ = 170239200.

The previous prime is 428006881. The next prime is 428006903. The reversal of 428006900 is 9600824.

It is a super-2 number, since 2×428006900² = 366379812895220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428006903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5945 + ... + 29855.

It is an arithmetic number, because the mean of its divisors is an integer number (25944520).

Almost surely, 2^428006900 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 428006900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467001360).

428006900 is an abundant number, since it is smaller than the sum of its proper divisors (505995820).

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

428006900 is a wasteful number, since it uses less digits than its factorization.

428006900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24104 (or 24097 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 428006900 is about 20688.3276269495. The cubic root of 428006900 is about 753.6162541027.

The spelling of 428006900 in words is "four hundred twenty-eight million, six thousand, nine hundred".