10388000 has 144 divisors (see below), whose sum is σ = 30250584. Its totient is φ = 3494400.

The previous prime is 10387997. The next prime is 10388023. The reversal of 10388000 is 88301.

It can be written as a sum of positive squares in 4 ways, for example, as 4177936 + 6210064 = 2044^2 + 2492^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195974 + ... + 196026.

Almost surely, 2^10388000 is an apocalyptic number.

10388000 is a gapful number since it is divisible by the number (10) 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 10388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15125292).

10388000 is an abundant number, since it is smaller than the sum of its proper divisors (19862584).

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

10388000 is an equidigital number, since it uses as much as digits as its factorization.

10388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10388000 is about 3223.0420413020. The cubic root of 10388000 is about 218.1945910031.

The spelling of 10388000 in words is "ten million, three hundred eighty-eight thousand".