1352728896 has 224 divisors, whose sum is σ = 4055546880. Its totient is φ = 395673600.

The previous prime is 1352728859. The next prime is 1352728901. The reversal of 1352728896 is 6988272531.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2934106 + ... + 2934566.

It is an arithmetic number, because the mean of its divisors is an integer number (18105120).

Almost surely, 2^1352728896 is an apocalyptic number.

1352728896 is a gapful number since it is divisible by the number (16) 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 1352728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027773440).

1352728896 is an abundant number, since it is smaller than the sum of its proper divisors (2702817984).

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

1352728896 is a wasteful number, since it uses less digits than its factorization.

1352728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 543 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 1352728896 is about 36779.4629650842. The cubic root of 1352728896 is about 1105.9536401449.

The spelling of 1352728896 in words is "one billion, three hundred fifty-two million, seven hundred twenty-eight thousand, eight hundred ninety-six".