540152928 has 384 divisors, whose sum is σ = 1930199040. Its totient is φ = 143700480.

The previous prime is 540152891. The next prime is 540152929. The reversal of 540152928 is 829251045.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 540152892 and 540152901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540152929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8061951 + ... + 8062017.

It is an arithmetic number, because the mean of its divisors is an integer number (5026560).

Almost surely, 2^540152928 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 540152928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965099520).

540152928 is an abundant number, since it is smaller than the sum of its proper divisors (1390046112).

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

540152928 is a wasteful number, since it uses less digits than its factorization.

540152928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 540152928 is about 23241.1903309620. The cubic root of 540152928 is about 814.4021500298.

The spelling of 540152928 in words is "five hundred forty million, one hundred fifty-two thousand, nine hundred twenty-eight".