428341536 has 216 divisors, whose sum is σ = 1434101760. Its totient is φ = 120911616.

The previous prime is 428341483. The next prime is 428341541. The reversal of 428341536 is 635143824.

428341536 = 36³ + 37³ + ... + 203³.

428341536 is a `hidden beast` number, since 4 + 2 + 83 + 41 + 536 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 428341536.

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, 1792105 + ... + 1792343.

It is an arithmetic number, because the mean of its divisors is an integer number (6639360).

Almost surely, 2^428341536 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 428341536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

428341536 is an abundant number, since it is smaller than the sum of its proper divisors (1005760224).

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

428341536 is a wasteful number, since it uses less digits than its factorization.

428341536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 428341536 is about 20696.4136023612. The cubic root of 428341536 is about 753.8126071937.

The spelling of 428341536 in words is "four hundred twenty-eight million, three hundred forty-one thousand, five hundred thirty-six".