428670720 has 216 divisors, whose sum is σ = 1499936256. Its totient is φ = 113025024.

The previous prime is 428670713. The next prime is 428670727. The reversal of 428670720 is 27076824.

It is an interprime number because it is at equal distance from previous prime (428670713) and next prime (428670727).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428670727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1462894 + ... + 1463186.

Almost surely, 2^428670720 is an apocalyptic number.

428670720 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 428670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749968128).

428670720 is an abundant number, since it is smaller than the sum of its proper divisors (1071265536).

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

428670720 is a wasteful number, since it uses less digits than its factorization.

428670720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 428670720 is about 20704.3647572197. The cubic root of 428670720 is about 754.0056614809.

The spelling of 428670720 in words is "four hundred twenty-eight million, six hundred seventy thousand, seven hundred twenty".