1372800528 has 160 divisors (see below), whose sum is σ = 4437811200. Its totient is φ = 402537600.

The previous prime is 1372800523. The next prime is 1372800593. The reversal of 1372800528 is 8250082731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1372800492 and 1372800501.

It is not an unprimeable number, because it can be changed into a prime (1372800523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142653 + ... + 151971.

It is an arithmetic number, because the mean of its divisors is an integer number (27736320).

Almost surely, 2^1372800528 is an apocalyptic number.

1372800528 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 1372800528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218905600).

1372800528 is an abundant number, since it is smaller than the sum of its proper divisors (3065010672).

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

1372800528 is a wasteful number, since it uses less digits than its factorization.

1372800528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9378 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1372800528 is about 37051.3228913625. The cubic root of 1372800528 is about 1111.3968098331.

The spelling of 1372800528 in words is "one billion, three hundred seventy-two million, eight hundred thousand, five hundred twenty-eight".