1009153728 has 336 divisors, whose sum is σ = 3474866304. Its totient is φ = 286986240.

The previous prime is 1009153723. The next prime is 1009153741. The reversal of 1009153728 is 8273519001.

1009153728 is a `hidden beast` number, since 10 + 0 + 91 + 537 + 28 = 666.

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 = 1009153692 and 1009153701.

It is not an unprimeable number, because it can be changed into a prime (1009153723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2908051 + ... + 2908397.

It is an arithmetic number, because the mean of its divisors is an integer number (10341864).

Almost surely, 2^1009153728 is an apocalyptic number.

1009153728 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 1009153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737433152).

1009153728 is an abundant number, since it is smaller than the sum of its proper divisors (2465712576).

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

1009153728 is a wasteful number, since it uses less digits than its factorization.

1009153728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1009153728 is about 31767.1800448198. The cubic root of 1009153728 is about 1003.0419796434.

The spelling of 1009153728 in words is "one billion, nine million, one hundred fifty-three thousand, seven hundred twenty-eight".