1353233728 has 224 divisors, whose sum is σ = 3673693440. Its totient is φ = 478248960.

The previous prime is 1353233719. The next prime is 1353233737. The reversal of 1353233728 is 8273323531.

It is an interprime number because it is at equal distance from previous prime (1353233719) and next prime (1353233737).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2429226 + ... + 2429782.

Almost surely, 2^1353233728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836846720).

1353233728 is an abundant number, since it is smaller than the sum of its proper divisors (2320459712).

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

1353233728 is a wasteful number, since it uses less digits than its factorization.

1353233728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The square root of 1353233728 is about 36786.3252853557. The cubic root of 1353233728 is about 1106.0912019160.

The spelling of 1353233728 in words is "one billion, three hundred fifty-three million, two hundred thirty-three thousand, seven hundred twenty-eight".