1352550528 has 320 divisors, whose sum is σ = 4685512800. Its totient is φ = 384072192.

The previous prime is 1352550461. The next prime is 1352550539. The reversal of 1352550528 is 8250552531.

1352550528 is a `hidden beast` number, since 1 + 3 + 52 + 550 + 52 + 8 = 666.

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 = 1352550492 and 1352550501.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8297775 + ... + 8297937.

Almost surely, 2^1352550528 is an apocalyptic number.

1352550528 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 1352550528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342756400).

1352550528 is an abundant number, since it is smaller than the sum of its proper divisors (3332962272).

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

1352550528 is an frugal number, since it uses more digits than its factorization.

1352550528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 1352550528 is about 36777.0380536552. The cubic root of 1352550528 is about 1105.9050284311.

The spelling of 1352550528 in words is "one billion, three hundred fifty-two million, five hundred fifty thousand, five hundred twenty-eight".