428133600 has 180 divisors, whose sum is σ = 1561556304. Its totient is φ = 114151680.

The previous prime is 428133527. The next prime is 428133649. The reversal of 428133600 is 6331824.

It is a happy number.

428133600 is a `hidden beast` number, since 4 + 28 + 1 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 61497 + ... + 68103.

Almost surely, 2^428133600 is an apocalyptic number.

428133600 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 428133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780778152).

428133600 is an abundant number, since it is smaller than the sum of its proper divisors (1133422704).

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

428133600 is a wasteful number, since it uses less digits than its factorization.

428133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6639 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 428133600 is about 20691.3895135150. The cubic root of 428133600 is about 753.6906094142.

The spelling of 428133600 in words is "four hundred twenty-eight million, one hundred thirty-three thousand, six hundred".