541128000 has 224 divisors, whose sum is σ = 2042696448. Its totient is φ = 123648000.

The previous prime is 541127987. The next prime is 541128031. The reversal of 541128000 is 821145.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 166390 + ... + 169610.

Almost surely, 2^541128000 is an apocalyptic number.

541128000 is a gapful number since it is divisible by the number (50) 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 541128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021348224).

541128000 is an abundant number, since it is smaller than the sum of its proper divisors (1501568448).

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

541128000 is a wasteful number, since it uses less digits than its factorization.

541128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 541128000 is about 23262.1581114049. The cubic root of 541128000 is about 814.8919023078.

Adding to 541128000 its reverse (821145), we get a palindrome (541949145).

It can be divided in two parts, 5411 and 28000, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 541128000 in words is "five hundred forty-one million, one hundred twenty-eight thousand".