1357728048 has 80 divisors (see below), whose sum is σ = 3903961440. Its totient is φ = 451789056.

The previous prime is 1357728041. The next prime is 1357728059. The reversal of 1357728048 is 8408277531.

1357728048 is a `hidden beast` number, since 13 + 577 + 28 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1357727994 and 1357728012.

It is not an unprimeable number, because it can be changed into a prime (1357728041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 279690 + ... + 284502.

It is an arithmetic number, because the mean of its divisors is an integer number (48799518).

Almost surely, 2^1357728048 is an apocalyptic number.

1357728048 is a gapful number since it is divisible by the number (18) 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 1357728048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951980720).

1357728048 is an abundant number, since it is smaller than the sum of its proper divisors (2546233392).

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

1357728048 is a wasteful number, since it uses less digits than its factorization.

1357728048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5483 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 1357728048 is about 36847.3614794872. The cubic root of 1357728048 is about 1107.3143546546.

The spelling of 1357728048 in words is "one billion, three hundred fifty-seven million, seven hundred twenty-eight thousand, forty-eight".