1675828224 has 264 divisors, whose sum is σ = 5777944080. Its totient is φ = 478420992.

The previous prime is 1675828211. The next prime is 1675828229. The reversal of 1675828224 is 4228285761.

1675828224 is a `hidden beast` number, since 1 + 67 + 582 + 8 + 2 + 2 + 4 = 666.

Its product of digits (430080) is a multiple of the sum of its prime factors (1280).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1675828224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1675828229) 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, 1354134 + ... + 1355370.

Almost surely, 2^1675828224 is an apocalyptic number.

1675828224 is a gapful number since it is divisible by the number (14) 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 1675828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888972040).

1675828224 is an abundant number, since it is smaller than the sum of its proper divisors (4102115856).

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

1675828224 is a wasteful number, since it uses less digits than its factorization.

1675828224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1249 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 1675828224 is about 40936.8809754725. The cubic root of 1675828224 is about 1187.7995784743.

The spelling of 1675828224 in words is "one billion, six hundred seventy-five million, eight hundred twenty-eight thousand, two hundred twenty-four".