160728917400 has 1152 divisors, whose sum is σ = 628751185920. Its totient is φ = 36560240640.

The previous prime is 160728917389. The next prime is 160728917407. The reversal of 160728917400 is 4719827061.

It is a happy number.

160728917400 is a `hidden beast` number, since 1 + 607 + 28 + 9 + 17 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160728917407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1422379744 + ... + 1422379856.

It is an arithmetic number, because the mean of its divisors is an integer number (545790960).

Almost surely, 2^160728917400 is an apocalyptic number.

160728917400 is a gapful number since it is divisible by the number (10) 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 160728917400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314375592960).

160728917400 is an abundant number, since it is smaller than the sum of its proper divisors (468022268520).

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

160728917400 is a wasteful number, since it uses less digits than its factorization.

160728917400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 160728917400 in words is "one hundred sixty billion, seven hundred twenty-eight million, nine hundred seventeen thousand, four hundred".