1154017728 has 84 divisors (see below), whose sum is σ = 3320438368. Its totient is φ = 383201280.

The previous prime is 1154017727. The next prime is 1154017747. The reversal of 1154017728 is 8277104511.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1154017692 and 1154017701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1154017723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152400 + ... + 159792.

Almost surely, 2^1154017728 is an apocalyptic number.

1154017728 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 1154017728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660219184).

1154017728 is an abundant number, since it is smaller than the sum of its proper divisors (2166420640).

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

1154017728 is a wasteful number, since it uses less digits than its factorization.

1154017728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7682 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 1154017728 is about 33970.8364336235. The cubic root of 1154017728 is about 1048.9082311807.

The spelling of 1154017728 in words is "one billion, one hundred fifty-four million, seventeen thousand, seven hundred twenty-eight".