428293500 has 96 divisors (see below), whose sum is σ = 1281064512. Its totient is φ = 111110400.

The previous prime is 428293493. The next prime is 428293507. The reversal of 428293500 is 5392824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428293493) and next prime (428293507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428293507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51642 + ... + 59358.

It is an arithmetic number, because the mean of its divisors is an integer number (13344422).

Almost surely, 2^428293500 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 428293500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640532256).

428293500 is an abundant number, since it is smaller than the sum of its proper divisors (852771012).

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

428293500 is a wasteful number, since it uses less digits than its factorization.

428293500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 428293500 is about 20695.2530789068. The cubic root of 428293500 is about 753.7844275808.

The spelling of 428293500 in words is "four hundred twenty-eight million, two hundred ninety-three thousand, five hundred".