428214528 has 162 divisors, whose sum is σ = 1436601894. Its totient is φ = 122314752.

The previous prime is 428214497. The next prime is 428214541. The reversal of 428214528 is 825412824.

428214528 is a `hidden beast` number, since 42 + 82 + 14 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 305270784 + 122943744 = 17472^2 + 11088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 428214492 and 428214501.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111000 + ... + 114792.

Almost surely, 2^428214528 is an apocalyptic number.

428214528 is a gapful number since it is divisible by the number (48) 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 428214528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718300947).

428214528 is an abundant number, since it is smaller than the sum of its proper divisors (1008387366).

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

428214528 is a wasteful number, since it uses less digits than its factorization.

428214528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3805 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 428214528 is about 20693.3450171788. The cubic root of 428214528 is about 753.7380952387.

The spelling of 428214528 in words is "four hundred twenty-eight million, two hundred fourteen thousand, five hundred twenty-eight".