752028 has 24 divisors (see below), whose sum is σ = 1816080. Its totient is φ = 241920.

The previous prime is 752023. The next prime is 752033. The reversal of 752028 is 820257.

It is an interprime number because it is at equal distance from previous prime (752023) and next prime (752033).

It is a super-2 number, since 2×752028² = 1131092225568, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 751989 and 752007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733 + ... + 1428.

It is an arithmetic number, because the mean of its divisors is an integer number (75670).

2⁷⁵²⁰²⁸ is an apocalyptic number.

It is an amenable number.

752028 is an abundant number, since it is smaller than the sum of its proper divisors (1064052).

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

752028 is a wasteful number, since it uses less digits than its factorization.

752028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 752028 is about 867.1954796930. The cubic root of 752028 is about 90.9378475087.

It can be divided in two parts, 75 and 2028, that multiplied together give a square (152100 = 390²).

The spelling of 752028 in words is "seven hundred fifty-two thousand, twenty-eight".