428724100 has 72 divisors (see below), whose sum is σ = 1066042880. Its totient is φ = 146603520.

The previous prime is 428724097. The next prime is 428724103. The reversal of 428724100 is 1427824.

It is an interprime number because it is at equal distance from previous prime (428724097) and next prime (428724103).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (428724103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424396 + ... + 425404.

Almost surely, 2^428724100 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 428724100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533021440).

428724100 is an abundant number, since it is smaller than the sum of its proper divisors (637318780).

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

428724100 is a wasteful number, since it uses less digits than its factorization.

428724100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 428724100 is about 20705.6538172548. The cubic root of 428724100 is about 754.0369575705.

It can be divided in two parts, 428724 and 100, that added together give a palindrome (428824).

The spelling of 428724100 in words is "four hundred twenty-eight million, seven hundred twenty-four thousand, one hundred".