10028480 has 168 divisors, whose sum is σ = 30809184. Its totient is φ = 3041280.

The previous prime is 10028479. The next prime is 10028509. The reversal of 10028480 is 8482001.

It is a super-2 number, since 2×10028480² = 201140822220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271022 + ... + 271058.

It is an arithmetic number, because the mean of its divisors is an integer number (183388).

Almost surely, 2^10028480 is an apocalyptic number.

10028480 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 10028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15404592).

10028480 is an abundant number, since it is smaller than the sum of its proper divisors (20780704).

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

10028480 is a wasteful number, since it uses less digits than its factorization.

10028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 10028480 is about 3166.7775419186. Note that the first 3 decimals coincide. The cubic root of 10028480 is about 215.6478028115.

The spelling of 10028480 in words is "ten million, twenty-eight thousand, four hundred eighty".