428187600 has 240 divisors, whose sum is σ = 1562816640. Its totient is φ = 111283200.

The previous prime is 428187589. The next prime is 428187601. The reversal of 428187600 is 6781824.

428187600 is a `hidden beast` number, since 42 + 8 + 1 + 8 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428187601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442317 + ... + 443283.

It is an arithmetic number, because the mean of its divisors is an integer number (6511736).

Almost surely, 2^428187600 is an apocalyptic number.

428187600 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 428187600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781408320).

428187600 is an abundant number, since it is smaller than the sum of its proper divisors (1134629040).

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

428187600 is a wasteful number, since it uses less digits than its factorization.

428187600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 428187600 is about 20692.6943629871. The cubic root of 428187600 is about 753.7222954595.

The spelling of 428187600 in words is "four hundred twenty-eight million, one hundred eighty-seven thousand, six hundred".