10428048 has 80 divisors (see below), whose sum is σ = 30355200. Its totient is φ = 3427200.

The previous prime is 10428007. The next prime is 10428049. The reversal of 10428048 is 84082401.

10428048 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10428048³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10428049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43513 + ... + 43751.

It is an arithmetic number, because the mean of its divisors is an integer number (379440).

Almost surely, 2^10428048 is an apocalyptic number.

10428048 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 10428048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177600).

10428048 is an abundant number, since it is smaller than the sum of its proper divisors (19927152).

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

10428048 is a wasteful number, since it uses less digits than its factorization.

10428048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10428048 is about 3229.2488290623. The cubic root of 10428048 is about 218.4746273166.

The spelling of 10428048 in words is "ten million, four hundred twenty-eight thousand, forty-eight".