428993280 has 144 divisors (see below), whose sum is σ = 1522452960. Its totient is φ = 114388992.

The previous prime is 428993197. The next prime is 428993287. The reversal of 428993280 is 82399824.

428993280 is a `hidden beast` number, since 4 + 289 + 93 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (428993287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28354 + ... + 40766.

It is an arithmetic number, because the mean of its divisors is an integer number (10572590).

Almost surely, 2^428993280 is an apocalyptic number.

428993280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761226480).

428993280 is an abundant number, since it is smaller than the sum of its proper divisors (1093459680).

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

428993280 is a wasteful number, since it uses less digits than its factorization.

428993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12443 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 428993280 is about 20712.1529542440. The cubic root of 428993280 is about 754.1947351898.

The spelling of 428993280 in words is "four hundred twenty-eight million, nine hundred ninety-three thousand, two hundred eighty".