10128480 has 48 divisors (see below), whose sum is σ = 31906224. Its totient is φ = 2700800.

The previous prime is 10128479. The next prime is 10128493. The reversal of 10128480 is 8482101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10128480² = 205172214220800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10128480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10071 + ... + 11030.

It is an arithmetic number, because the mean of its divisors is an integer number (664713).

Almost surely, 2^10128480 is an apocalyptic number.

10128480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10128480 is an abundant number, since it is smaller than the sum of its proper divisors (21777744).

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

10128480 is a wasteful number, since it uses less digits than its factorization.

10128480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21119 (or 21111 counting only the distinct ones).

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

The square root of 10128480 is about 3182.5272976048. The cubic root of 10128480 is about 216.3622180330.

The spelling of 10128480 in words is "ten million, one hundred twenty-eight thousand, four hundred eighty".