428544000 has 416 divisors, whose sum is σ = 1635578880. Its totient is φ = 110592000.

The previous prime is 428543923. The next prime is 428544019. The reversal of 428544000 is 445824.

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 31 ways as a sum of consecutive naturals, for example, 13823985 + ... + 13824015.

It is an arithmetic number, because the mean of its divisors is an integer number (3931680).

Almost surely, 2^428544000 is an apocalyptic number.

428544000 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 428544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817789440).

428544000 is an abundant number, since it is smaller than the sum of its proper divisors (1207034880).

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

428544000 is an equidigital number, since it uses as much as digits as its factorization.

428544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 428544000 is about 20701.3043067339. The cubic root of 428544000 is about 753.9313565739.

Adding to 428544000 its reverse (445824), we get a palindrome (428989824).

The spelling of 428544000 in words is "four hundred twenty-eight million, five hundred forty-four thousand".