537846528 has 288 divisors, whose sum is σ = 1648281600. Its totient is φ = 154828800.

The previous prime is 537846503. The next prime is 537846581. The reversal of 537846528 is 825648735.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13118188 + ... + 13118228.

It is an arithmetic number, because the mean of its divisors is an integer number (5723200).

Almost surely, 2^537846528 is an apocalyptic number.

537846528 is a gapful number since it is divisible by the number (58) 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 537846528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824140800).

537846528 is an abundant number, since it is smaller than the sum of its proper divisors (1110435072).

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

537846528 is a wasteful number, since it uses less digits than its factorization.

537846528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 537846528 is about 23191.5184496402. The cubic root of 537846528 is about 813.2413572125.

The spelling of 537846528 in words is "five hundred thirty-seven million, eight hundred forty-six thousand, five hundred twenty-eight".