428514240 has 672 divisors, whose sum is σ = 1868009472. Its totient is φ = 81100800.

The previous prime is 428514211. The next prime is 428514241. The reversal of 428514240 is 42415824.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 428514198 and 428514207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428514241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13823025 + ... + 13823055.

It is an arithmetic number, because the mean of its divisors is an integer number (2779776).

Almost surely, 2^428514240 is an apocalyptic number.

428514240 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 428514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934004736).

428514240 is an abundant number, since it is smaller than the sum of its proper divisors (1439495232).

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

428514240 is a wasteful number, since it uses less digits than its factorization.

428514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 428514240 is about 20700.5854989660. The cubic root of 428514240 is about 753.9139040552.

The spelling of 428514240 in words is "four hundred twenty-eight million, five hundred fourteen thousand, two hundred forty".