428093400 has 144 divisors (see below), whose sum is σ = 1543863240. Its totient is φ = 97843200.

The previous prime is 428093399. The next prime is 428093401. The reversal of 428093400 is 4390824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428093399) and next prime (428093401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428093401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22120 + ... + 36680.

Almost surely, 2^428093400 is an apocalyptic number.

428093400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428093400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771931620).

428093400 is an abundant number, since it is smaller than the sum of its proper divisors (1115769840).

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

428093400 is a wasteful number, since it uses less digits than its factorization.

428093400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14594 (or 14578 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 428093400 is about 20690.4180721415. The cubic root of 428093400 is about 753.6670191838.

The spelling of 428093400 in words is "four hundred twenty-eight million, ninety-three thousand, four hundred".