428126400 has 252 divisors, whose sum is σ = 1639429792. Its totient is φ = 105338880.

The previous prime is 428126383. The next prime is 428126429. The reversal of 428126400 is 4621824.

428126400 is a `hidden beast` number, since 4 + 2 + 8 + 12 + 640 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186057 + ... + 188343.

Almost surely, 2^428126400 is an apocalyptic number.

428126400 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 428126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819714896).

428126400 is an abundant number, since it is smaller than the sum of its proper divisors (1211303392).

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

428126400 is a wasteful number, since it uses less digits than its factorization.

428126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 428126400 is about 20691.2155273681. The cubic root of 428126400 is about 753.6863844069.

The spelling of 428126400 in words is "four hundred twenty-eight million, one hundred twenty-six thousand, four hundred".