528723426240 has 224 divisors, whose sum is σ = 1867098120000. Its totient is φ = 140850855936.

The previous prime is 528723426233. The next prime is 528723426241. The reversal of 528723426240 is 42624327825.

528723426240 is a `hidden beast` number, since 5 + 287 + 2 + 342 + 6 + 24 + 0 = 666.

It is a super-2 number, since 2×528723426240² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528723426241) 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, 8687436 + ... + 8748084.

Almost surely, 2^528723426240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528723426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933549060000).

528723426240 is an abundant number, since it is smaller than the sum of its proper divisors (1338374693760).

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

528723426240 is a wasteful number, since it uses less digits than its factorization.

528723426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61684 (or 61668 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 528723426240 in words is "five hundred twenty-eight billion, seven hundred twenty-three million, four hundred twenty-six thousand, two hundred forty".