4400928 has 144 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1202688.

The previous prime is 4400927. The next prime is 4400959. The reversal of 4400928 is 8290044.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4400928² = 38736334522368, which contains 22 as substring.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (4400923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74563 + ... + 74621.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

Almost surely, 2^4400928 is an apocalyptic number.

4400928 is a gapful number since it is divisible by the number (48) 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 4400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

4400928 is an abundant number, since it is smaller than the sum of its proper divisors (10537632).

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

4400928 is a wasteful number, since it uses less digits than its factorization.

4400928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4400928 is about 2097.8388879988. The cubic root of 4400928 is about 163.8757734639.

The spelling of 4400928 in words is "four million, four hundred thousand, nine hundred twenty-eight".