428347680 has 48 divisors (see below), whose sum is σ = 1349296704. Its totient is φ = 114225920.

The previous prime is 428347679. The next prime is 428347687. The reversal of 428347680 is 86743824.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×428347680² = 366963469922764800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (428347687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445716 + ... + 446675.

It is an arithmetic number, because the mean of its divisors is an integer number (28110348).

Almost surely, 2^428347680 is an apocalyptic number.

428347680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428347680 is an abundant number, since it is smaller than the sum of its proper divisors (920949024).

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

428347680 is a wasteful number, since it uses less digits than its factorization.

428347680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892409 (or 892401 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 428347680 is about 20696.5620333426. The cubic root of 428347680 is about 753.8162113290.

The spelling of 428347680 in words is "four hundred twenty-eight million, three hundred forty-seven thousand, six hundred eighty".