40828800 has 96 divisors (see below), whose sum is σ = 134511480. Its totient is φ = 10885120.

The previous prime is 40828793. The next prime is 40828811. The reversal of 40828800 is 882804.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7474 + ... + 11726.

Almost surely, 2^40828800 is an apocalyptic number.

40828800 is a gapful number since it is divisible by the number (40) 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 40828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67255740).

40828800 is an abundant number, since it is smaller than the sum of its proper divisors (93682680).

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

40828800 is a wasteful number, since it uses less digits than its factorization.

40828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 40828800 is about 6389.7417788202. The cubic root of 40828800 is about 344.3411074755.

The spelling of 40828800 in words is "forty million, eight hundred twenty-eight thousand, eight hundred".