1089728640 has 1152 divisors, whose sum is σ = 5333065920. Its totient is φ = 209018880.

The previous prime is 1089728639. The next prime is 1089728657. The reversal of 1089728640 is 468279801.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83825274 + ... + 83825286.

Almost surely, 2^1089728640 is an apocalyptic number.

1089728640 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 1089728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666532960).

1089728640 is an abundant number, since it is smaller than the sum of its proper divisors (4243337280).

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

1089728640 is a wasteful number, since it uses less digits than its factorization.

1089728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1089728640 is about 33011.0381539266. The cubic root of 1089728640 is about 1029.0570563948.

The spelling of 1089728640 in words is "one billion, eighty-nine million, seven hundred twenty-eight thousand, six hundred forty".