40528800 has 216 divisors, whose sum is σ = 154263564. Its totient is φ = 9953280.

The previous prime is 40528793. The next prime is 40528837. The reversal of 40528800 is 882504.

It can be written as a sum of positive squares in 6 ways, for example, as 2039184 + 38489616 = 1428^2 + 6204^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93384 + ... + 93816.

Almost surely, 2^40528800 is an apocalyptic number.

40528800 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 40528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77131782).

40528800 is an abundant number, since it is smaller than the sum of its proper divisors (113734764).

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

40528800 is a wasteful number, since it uses less digits than its factorization.

40528800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 40528800 is about 6366.2233702565. The cubic root of 40528800 is about 343.4956553800.

It can be divided in two parts, 40528 and 800, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 40528800 in words is "forty million, five hundred twenty-eight thousand, eight hundred".