428265600 has 192 divisors, whose sum is σ = 1612367040. Its totient is φ = 97873920.

The previous prime is 428265587. The next prime is 428265631. The reversal of 428265600 is 6562824.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×428265600² = 366822848286720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64014 + ... + 70386.

It is an arithmetic number, because the mean of its divisors is an integer number (8397745).

Almost surely, 2^428265600 is an apocalyptic number.

428265600 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 428265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806183520).

428265600 is an abundant number, since it is smaller than the sum of its proper divisors (1184101440).

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

428265600 is a wasteful number, since it uses less digits than its factorization.

428265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6407 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 428265600 is about 20694.5790003083. The cubic root of 428265600 is about 753.7680594888.

The spelling of 428265600 in words is "four hundred twenty-eight million, two hundred sixty-five thousand, six hundred".