1828735392 has 96 divisors (see below), whose sum is σ = 5248986624. Its totient is φ = 552876800.

The previous prime is 1828735379. The next prime is 1828735393. The reversal of 1828735392 is 2935378281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1828735393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516733 + ... + 520259.

It is an arithmetic number, because the mean of its divisors is an integer number (54676944).

Almost surely, 2^1828735392 is an apocalyptic number.

1828735392 is a gapful number since it is divisible by the number (12) 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 1828735392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624493312).

1828735392 is an abundant number, since it is smaller than the sum of its proper divisors (3420251232).

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

1828735392 is a wasteful number, since it uses less digits than its factorization.

1828735392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4034 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 1828735392 is about 42763.7158348056. The cubic root of 1828735392 is about 1222.8793835924.

The spelling of 1828735392 in words is "one billion, eight hundred twenty-eight million, seven hundred thirty-five thousand, three hundred ninety-two".