1828075536 has 135 divisors (see below), whose sum is σ = 5963064861. Its totient is φ = 521281152.

The previous prime is 1828075531. The next prime is 1828075541. The reversal of 1828075536 is 6355708281.

The square root of 1828075536 is 42756.

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

1828075536 is a `hidden beast` number, since 18 + 2 + 80 + 7 + 553 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1828075531) and next prime (1828075541).

It can be written as a sum of positive squares in only one way, i.e., 1486565136 + 341510400 = 38556^2 + 18480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1828075491 and 1828075500.

It is not an unprimeable number, because it can be changed into a prime (1828075531) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3591250 + ... + 3591758.

Almost surely, 2^1828075536 is an apocalyptic number.

1828075536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1828075536 is the 42756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1828075536

1828075536 is an abundant number, since it is smaller than the sum of its proper divisors (4134989325).

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

1828075536 is an equidigital number, since it uses as much as digits as its factorization.

1828075536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The cubic root of 1828075536 is about 1222.7322835117.

The spelling of 1828075536 in words is "one billion, eight hundred twenty-eight million, seventy-five thousand, five hundred thirty-six".