428353536 has 192 divisors, whose sum is σ = 1276853760. Its totient is φ = 126812160.

The previous prime is 428353501. The next prime is 428353589. The reversal of 428353536 is 635353824.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 428353494 and 428353503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2475946 + ... + 2476118.

It is an arithmetic number, because the mean of its divisors is an integer number (6650280).

Almost surely, 2^428353536 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 428353536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638426880).

428353536 is an abundant number, since it is smaller than the sum of its proper divisors (848500224).

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

428353536 is a wasteful number, since it uses less digits than its factorization.

428353536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 428353536 is about 20696.7035056310. The cubic root of 428353536 is about 753.8196464883.

The spelling of 428353536 in words is "four hundred twenty-eight million, three hundred fifty-three thousand, five hundred thirty-six".