62028000 has 144 divisors (see below), whose sum is σ = 220265136. Its totient is φ = 16531200.

The previous prime is 62027981. The next prime is 62028023. The reversal of 62028000 is 82026.

62028000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35139 + ... + 36861.

It is an arithmetic number, because the mean of its divisors is an integer number (1529619).

Almost surely, 2^62028000 is an apocalyptic number.

62028000 is a gapful number since it is divisible by the number (60) 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 62028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110132568).

62028000 is an abundant number, since it is smaller than the sum of its proper divisors (158237136).

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

62028000 is a wasteful number, since it uses less digits than its factorization.

62028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 62028000 is about 7875.7856750930. The cubic root of 62028000 is about 395.8487331651.

The spelling of 62028000 in words is "sixty-two million, twenty-eight thousand".