11028480000 has 300 divisors, whose sum is σ = 36851078880. Its totient is φ = 2932736000.

The previous prime is 11028479983. The next prime is 11028480007. The reversal of 11028480000 is 8482011.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×11028480000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11028480007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30719821 + ... + 30720179.

Almost surely, 2^11028480000 is an apocalyptic number.

11028480000 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 11028480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425539440).

11028480000 is an abundant number, since it is smaller than the sum of its proper divisors (25822598880).

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

11028480000 is an frugal number, since it uses more digits than its factorization.

11028480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 11028480000 in words is "eleven billion, twenty-eight million, four hundred eighty thousand".