46628000 has 48 divisors (see below), whose sum is σ = 114574824. Its totient is φ = 18649600.

The previous prime is 46627993. The next prime is 46628003. The reversal of 46628000 is 82664.

46628000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19044496 + 27583504 = 4364^2 + 5252^2 .

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (46628003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1829 + ... + 9828.

Almost surely, 2^46628000 is an apocalyptic number.

46628000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46628000 is an abundant number, since it is smaller than the sum of its proper divisors (67946824).

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

46628000 is a wasteful number, since it uses less digits than its factorization.

46628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11682 (or 11664 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 46628000 is about 6828.4698139481. The cubic root of 46628000 is about 359.9279691277.

The spelling of 46628000 in words is "forty-six million, six hundred twenty-eight thousand".