428693300 has 72 divisors (see below), whose sum is σ = 1065973440. Its totient is φ = 146592000.

The previous prime is 428693261. The next prime is 428693323. The reversal of 428693300 is 3396824.

428693300 = T₁₆₉ + T₁₇₀ + ... + T₁₃₇₀.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420191 + ... + 421209.

Almost surely, 2^428693300 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 428693300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532986720).

428693300 is an abundant number, since it is smaller than the sum of its proper divisors (637280140).

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

428693300 is a wasteful number, since it uses less digits than its factorization.

428693300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 428693300 is about 20704.9100456872. The cubic root of 428693300 is about 754.0189001963.

The spelling of 428693300 in words is "four hundred twenty-eight million, six hundred ninety-three thousand, three hundred".