1675428624 has 105 divisors (see below), whose sum is σ = 4879863543. Its totient is φ = 557002656.

The previous prime is 1675428619. The next prime is 1675428637. The reversal of 1675428624 is 4268245761.

The square root of 1675428624 is 40932.

It is a perfect power (a square), and thus also a powerful number.

1675428624 is a `hidden beast` number, since 1 + 6 + 7 + 542 + 86 + 24 = 666.

It is a super-2 number, since 2×1675428624² = 5614122148237066752, which contains 22 as substring.

Its product of digits (645120) is a multiple of the sum of its prime divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1675428624.

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 4420467 + ... + 4420845.

Almost surely, 2^1675428624 is an apocalyptic number.

1675428624 is the 40932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1675428624

1675428624 is an abundant number, since it is smaller than the sum of its proper divisors (3204434919).

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

1675428624 is an frugal number, since it uses more digits than its factorization.

1675428624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 384 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The cubic root of 1675428624 is about 1187.7051609924.

The spelling of 1675428624 in words is "one billion, six hundred seventy-five million, four hundred twenty-eight thousand, six hundred twenty-four".