428294496 has 96 divisors (see below), whose sum is σ = 1311206400. Its totient is φ = 122360448.

The previous prime is 428294483. The next prime is 428294509. The reversal of 428294496 is 694492824.

It is an interprime number because it is at equal distance from previous prime (428294483) and next prime (428294509).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26425 + ... + 39431.

It is an arithmetic number, because the mean of its divisors is an integer number (13658400).

Almost surely, 2^428294496 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 428294496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655603200).

428294496 is an abundant number, since it is smaller than the sum of its proper divisors (882911904).

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

428294496 is a wasteful number, since it uses less digits than its factorization.

428294496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13041 (or 13019 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 428294496 is about 20695.2771423820. The cubic root of 428294496 is about 753.7850118909.

The spelling of 428294496 in words is "four hundred twenty-eight million, two hundred ninety-four thousand, four hundred ninety-six".