10728199440 has 160 divisors (see below), whose sum is σ = 42231701760. Its totient is φ = 2452156416.

The previous prime is 10728199429. The next prime is 10728199457. The reversal of 10728199440 is 4499182701.

It is a happy number.

10728199440 is a `hidden beast` number, since 10 + 7 + 2 + 8 + 199 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339649 + ... + 369888.

It is an arithmetic number, because the mean of its divisors is an integer number (263948136).

Almost surely, 2^10728199440 is an apocalyptic number.

10728199440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10728199440 is an abundant number, since it is smaller than the sum of its proper divisors (31503502320).

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

10728199440 is a wasteful number, since it uses less digits than its factorization.

10728199440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709566 (or 709554 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10728199440 in words is "ten billion, seven hundred twenty-eight million, one hundred ninety-nine thousand, four hundred forty".