46728528 has 160 divisors (see below), whose sum is σ = 154275840. Its totient is φ = 11834880.

The previous prime is 46728527. The next prime is 46728553. The reversal of 46728528 is 82582764.

It is a happy number.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a self number, because there is not a number n which added to its sum of digits gives 46728528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46728527) 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, 173578 + ... + 173846.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 2^46728528 is an apocalyptic number.

46728528 is a gapful number since it is divisible by the number (48) 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 46728528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77137920).

46728528 is an abundant number, since it is smaller than the sum of its proper divisors (107547312).

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

46728528 is a wasteful number, since it uses less digits than its factorization.

46728528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 46728528 is about 6835.8267971036. The cubic root of 46728528 is about 360.1864466311.

The spelling of 46728528 in words is "forty-six million, seven hundred twenty-eight thousand, five hundred twenty-eight".