428054004 has 144 divisors (see below), whose sum is σ = 1319189760. Its totient is φ = 119629440.

The previous prime is 428053993. The next prime is 428054017. The reversal of 428054004 is 400450824.

428054004 is a `hidden beast` number, since 42 + 80 + 540 + 0 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 247864 + ... + 249584.

It is an arithmetic number, because the mean of its divisors is an integer number (9161040).

Almost surely, 2^428054004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428054004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659594880).

428054004 is an abundant number, since it is smaller than the sum of its proper divisors (891135756).

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

428054004 is a wasteful number, since it uses less digits than its factorization.

428054004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1780 counting only the distinct ones).

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

The square root of 428054004 is about 20689.4660153422. The cubic root of 428054004 is about 753.6438993251.

The spelling of 428054004 in words is "four hundred twenty-eight million, fifty-four thousand, four".