428175360 has 312 divisors, whose sum is σ = 1564022304. Its totient is φ = 108134400.

The previous prime is 428175347. The next prime is 428175361. The reversal of 428175360 is 63571824.

428175360 is a `hidden beast` number, since 42 + 81 + 7 + 536 + 0 = 666.

It is a super-2 number, since 2×428175360² = 366668277822259200, which contains 22 as substring.

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 (428175361) 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, 4239310 + ... + 4239410.

It is an arithmetic number, because the mean of its divisors is an integer number (5012892).

Almost surely, 2^428175360 is an apocalyptic number.

428175360 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 428175360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782011152).

428175360 is an abundant number, since it is smaller than the sum of its proper divisors (1135846944).

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

428175360 is a wasteful number, since it uses less digits than its factorization.

428175360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 428175360 is about 20692.3986043184. The cubic root of 428175360 is about 753.7151135228.

The spelling of 428175360 in words is "four hundred twenty-eight million, one hundred seventy-five thousand, three hundred sixty".