428086400 has 192 divisors, whose sum is σ = 1252152000. Its totient is φ = 141496320.

The previous prime is 428086391. The next prime is 428086403. The reversal of 428086400 is 4680824.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428086403) 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, 649271 + ... + 649929.

It is an arithmetic number, because the mean of its divisors is an integer number (6521625).

Almost surely, 2^428086400 is an apocalyptic number.

428086400 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 428086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626076000).

428086400 is an abundant number, since it is smaller than the sum of its proper divisors (824065600).

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

428086400 is a wasteful number, since it uses less digits than its factorization.

428086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 428086400 is about 20690.2489110209. The cubic root of 428086400 is about 753.6629112813.

The spelling of 428086400 in words is "four hundred twenty-eight million, eighty-six thousand, four hundred".