428763040 has 36 divisors (see below), whose sum is σ = 1013571846. Its totient is φ = 171400448.

The previous prime is 428763011. The next prime is 428763043. The reversal of 428763040 is 40367824.

It can be written as a sum of positive squares in 3 ways, for example, as 97377424 + 331385616 = 9868^2 + 18204^2 .

It is a junction number, because it is equal to n+sod(n) for n = 428762987 and 428763005.

It is not an unprimeable number, because it can be changed into a prime (428763043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 261102 + ... + 262738.

Almost surely, 2^428763040 is an apocalyptic number.

428763040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428763040 is an abundant number, since it is smaller than the sum of its proper divisors (584808806).

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

428763040 is an frugal number, since it uses more digits than its factorization.

428763040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 428763040 is about 20706.5941187825. The cubic root of 428763040 is about 754.0597860128.

The spelling of 428763040 in words is "four hundred twenty-eight million, seven hundred sixty-three thousand, forty".